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Simplifying -3 + (6z + 8) = -1(-2z + 4) + -7 Reorder the terms: -3 + (8 + 6z) = -1(-2z + 4) + -7 Remove parenthesis around (8 + 6z) -3 + 8 + 6z = -1(-2z + 4) + -7 Combine like terms: -3 + 8 = 5 5 + 6z = -1(-2z + 4) + -7 Reorder the terms: 5 + 6z = -1(4 + -2z) + -7 5 + 6z = (4 * -1 + -2z * -1) + -7 5 + 6z = (-4 + 2z) + -7 Reorder the terms: 5 + 6z = -4 + -7 + 2z Combine like terms: -4 + -7 = -11 5 + 6z = -11 + 2z Solving 5 + 6z = -11 + 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. 5 + 6z + -2z = -11 + 2z + -2z Combine like terms: 6z + -2z = 4z 5 + 4z = -11 + 2z + -2z Combine like terms: 2z + -2z = 0 5 + 4z = -11 + 0 5 + 4z = -11 Add '-5' to each side of the equation. 5 + -5 + 4z = -11 + -5 Combine like terms: 5 + -5 = 0 0 + 4z = -11 + -5 4z = -11 + -5 Combine like terms: -11 + -5 = -16 4z = -16 Divide each side by '4'. z = -4 Simplifying z = -4
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