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Simplifying -3(4z + 5) = -15 + -20 + 3z Reorder the terms: -3(5 + 4z) = -15 + -20 + 3z (5 * -3 + 4z * -3) = -15 + -20 + 3z (-15 + -12z) = -15 + -20 + 3z Combine like terms: -15 + -20 = -35 -15 + -12z = -35 + 3z Solving -15 + -12z = -35 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -15 + -12z + -3z = -35 + 3z + -3z Combine like terms: -12z + -3z = -15z -15 + -15z = -35 + 3z + -3z Combine like terms: 3z + -3z = 0 -15 + -15z = -35 + 0 -15 + -15z = -35 Add '15' to each side of the equation. -15 + 15 + -15z = -35 + 15 Combine like terms: -15 + 15 = 0 0 + -15z = -35 + 15 -15z = -35 + 15 Combine like terms: -35 + 15 = -20 -15z = -20 Divide each side by '-15'. z = 1.333333333 Simplifying z = 1.333333333
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