-7-4(5z+9)=-5(-3z+5)+2

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Solution for -7-4(5z+9)=-5(-3z+5)+2 equation:


Simplifying
-7 + -4(5z + 9) = -5(-3z + 5) + 2

Reorder the terms:
-7 + -4(9 + 5z) = -5(-3z + 5) + 2
-7 + (9 * -4 + 5z * -4) = -5(-3z + 5) + 2
-7 + (-36 + -20z) = -5(-3z + 5) + 2

Combine like terms: -7 + -36 = -43
-43 + -20z = -5(-3z + 5) + 2

Reorder the terms:
-43 + -20z = -5(5 + -3z) + 2
-43 + -20z = (5 * -5 + -3z * -5) + 2
-43 + -20z = (-25 + 15z) + 2

Reorder the terms:
-43 + -20z = -25 + 2 + 15z

Combine like terms: -25 + 2 = -23
-43 + -20z = -23 + 15z

Solving
-43 + -20z = -23 + 15z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-15z' to each side of the equation.
-43 + -20z + -15z = -23 + 15z + -15z

Combine like terms: -20z + -15z = -35z
-43 + -35z = -23 + 15z + -15z

Combine like terms: 15z + -15z = 0
-43 + -35z = -23 + 0
-43 + -35z = -23

Add '43' to each side of the equation.
-43 + 43 + -35z = -23 + 43

Combine like terms: -43 + 43 = 0
0 + -35z = -23 + 43
-35z = -23 + 43

Combine like terms: -23 + 43 = 20
-35z = 20

Divide each side by '-35'.
z = -0.5714285714

Simplifying
z = -0.5714285714

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