-2+4(-2z+8)=-5(-3z+4)+1

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Solution for -2+4(-2z+8)=-5(-3z+4)+1 equation:


Simplifying
-2 + 4(-2z + 8) = -5(-3z + 4) + 1

Reorder the terms:
-2 + 4(8 + -2z) = -5(-3z + 4) + 1
-2 + (8 * 4 + -2z * 4) = -5(-3z + 4) + 1
-2 + (32 + -8z) = -5(-3z + 4) + 1

Combine like terms: -2 + 32 = 30
30 + -8z = -5(-3z + 4) + 1

Reorder the terms:
30 + -8z = -5(4 + -3z) + 1
30 + -8z = (4 * -5 + -3z * -5) + 1
30 + -8z = (-20 + 15z) + 1

Reorder the terms:
30 + -8z = -20 + 1 + 15z

Combine like terms: -20 + 1 = -19
30 + -8z = -19 + 15z

Solving
30 + -8z = -19 + 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.
30 + -8z + -15z = -19 + 15z + -15z

Combine like terms: -8z + -15z = -23z
30 + -23z = -19 + 15z + -15z

Combine like terms: 15z + -15z = 0
30 + -23z = -19 + 0
30 + -23z = -19

Add '-30' to each side of the equation.
30 + -30 + -23z = -19 + -30

Combine like terms: 30 + -30 = 0
0 + -23z = -19 + -30
-23z = -19 + -30

Combine like terms: -19 + -30 = -49
-23z = -49

Divide each side by '-23'.
z = 2.130434783

Simplifying
z = 2.130434783

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