# Solve for z 6/7z=-2/3

67z=-23
Multiply both sides of the equation by 76.
76⋅67⋅z=76⋅-23
Simplify both sides of the equation.
Simplify 76⋅67⋅z.
Cancel the common factor of 7.
Cancel the common factor.
76⋅67⋅z=76⋅-23
Rewrite the expression.
16⋅6⋅z=76⋅-23
16⋅6⋅z=76⋅-23
Cancel the common factor of 6.
Cancel the common factor.
16⋅6⋅z=76⋅-23
Rewrite the expression.
1⋅z=76⋅-23
1⋅z=76⋅-23
Multiply z by 1.
z=76⋅-23
z=76⋅-23
Simplify 76⋅-23.
Cancel the common factor of 2.
Factor 2 out of 6.
z=72(3)⋅-23
Factor 2 out of -2.
z=72⋅3⋅2⋅-13
Cancel the common factor.
z=72⋅3⋅2⋅-13
Rewrite the expression.
z=73⋅-13
z=73⋅-13
Multiply 73 and -13.
z=7⋅-13⋅3
Simplify the expression.
Multiply 7 by -1.
z=-73⋅3
Multiply 3 by 3.
z=-79
Move the negative in front of the fraction.
z=-79
z=-79
z=-79
z=-79
The result can be shown in multiple forms.
Exact Form:
z=-79
Decimal Form:
z=-0.7‾
Solve for z 6/7z=-2/3

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