-5(1-2z)+4(3-z)-7(3z+5)=-6

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Solution for -5(1-2z)+4(3-z)-7(3z+5)=-6 equation:


Simplifying
-5(1 + -2z) + 4(3 + -1z) + -7(3z + 5) = -6
(1 * -5 + -2z * -5) + 4(3 + -1z) + -7(3z + 5) = -6
(-5 + 10z) + 4(3 + -1z) + -7(3z + 5) = -6
-5 + 10z + (3 * 4 + -1z * 4) + -7(3z + 5) = -6
-5 + 10z + (12 + -4z) + -7(3z + 5) = -6

Reorder the terms:
-5 + 10z + 12 + -4z + -7(5 + 3z) = -6
-5 + 10z + 12 + -4z + (5 * -7 + 3z * -7) = -6
-5 + 10z + 12 + -4z + (-35 + -21z) = -6

Reorder the terms:
-5 + 12 + -35 + 10z + -4z + -21z = -6

Combine like terms: -5 + 12 = 7
7 + -35 + 10z + -4z + -21z = -6

Combine like terms: 7 + -35 = -28
-28 + 10z + -4z + -21z = -6

Combine like terms: 10z + -4z = 6z
-28 + 6z + -21z = -6

Combine like terms: 6z + -21z = -15z
-28 + -15z = -6

Solving
-28 + -15z = -6

Solving for variable 'z'.

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

Add '28' to each side of the equation.
-28 + 28 + -15z = -6 + 28

Combine like terms: -28 + 28 = 0
0 + -15z = -6 + 28
-15z = -6 + 28

Combine like terms: -6 + 28 = 22
-15z = 22

Divide each side by '-15'.
z = -1.466666667

Simplifying
z = -1.466666667

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