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Simplifying -2(2z + 6) = 4(6z + 4) Reorder the terms: -2(6 + 2z) = 4(6z + 4) (6 * -2 + 2z * -2) = 4(6z + 4) (-12 + -4z) = 4(6z + 4) Reorder the terms: -12 + -4z = 4(4 + 6z) -12 + -4z = (4 * 4 + 6z * 4) -12 + -4z = (16 + 24z) Solving -12 + -4z = 16 + 24z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-24z' to each side of the equation. -12 + -4z + -24z = 16 + 24z + -24z Combine like terms: -4z + -24z = -28z -12 + -28z = 16 + 24z + -24z Combine like terms: 24z + -24z = 0 -12 + -28z = 16 + 0 -12 + -28z = 16 Add '12' to each side of the equation. -12 + 12 + -28z = 16 + 12 Combine like terms: -12 + 12 = 0 0 + -28z = 16 + 12 -28z = 16 + 12 Combine like terms: 16 + 12 = 28 -28z = 28 Divide each side by '-28'. z = -1 Simplifying z = -1
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