5-6(-5z+3)=-(-2z+5)-4

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Solution for 5-6(-5z+3)=-(-2z+5)-4 equation:


Simplifying
5 + -6(-5z + 3) = -1(-2z + 5) + -4

Reorder the terms:
5 + -6(3 + -5z) = -1(-2z + 5) + -4
5 + (3 * -6 + -5z * -6) = -1(-2z + 5) + -4
5 + (-18 + 30z) = -1(-2z + 5) + -4

Combine like terms: 5 + -18 = -13
-13 + 30z = -1(-2z + 5) + -4

Reorder the terms:
-13 + 30z = -1(5 + -2z) + -4
-13 + 30z = (5 * -1 + -2z * -1) + -4
-13 + 30z = (-5 + 2z) + -4

Reorder the terms:
-13 + 30z = -5 + -4 + 2z

Combine like terms: -5 + -4 = -9
-13 + 30z = -9 + 2z

Solving
-13 + 30z = -9 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
-13 + 30z + -2z = -9 + 2z + -2z

Combine like terms: 30z + -2z = 28z
-13 + 28z = -9 + 2z + -2z

Combine like terms: 2z + -2z = 0
-13 + 28z = -9 + 0
-13 + 28z = -9

Add '13' to each side of the equation.
-13 + 13 + 28z = -9 + 13

Combine like terms: -13 + 13 = 0
0 + 28z = -9 + 13
28z = -9 + 13

Combine like terms: -9 + 13 = 4
28z = 4

Divide each side by '28'.
z = 0.1428571429

Simplifying
z = 0.1428571429

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