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Simplifying -1(3z + 4) = 62 + -3(3z + 2z) Reorder the terms: -1(4 + 3z) = 62 + -3(3z + 2z) (4 * -1 + 3z * -1) = 62 + -3(3z + 2z) (-4 + -3z) = 62 + -3(3z + 2z) Combine like terms: 3z + 2z = 5z -4 + -3z = 62 + -3(5z) Remove parenthesis around (5z) -4 + -3z = 62 + -3 * 5z Multiply -3 * 5 -4 + -3z = 62 + -15z Solving -4 + -3z = 62 + -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. -4 + -3z + 15z = 62 + -15z + 15z Combine like terms: -3z + 15z = 12z -4 + 12z = 62 + -15z + 15z Combine like terms: -15z + 15z = 0 -4 + 12z = 62 + 0 -4 + 12z = 62 Add '4' to each side of the equation. -4 + 4 + 12z = 62 + 4 Combine like terms: -4 + 4 = 0 0 + 12z = 62 + 4 12z = 62 + 4 Combine like terms: 62 + 4 = 66 12z = 66 Divide each side by '12'. z = 5.5 Simplifying z = 5.5
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