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Simplifying -5(z + 3) = 4z + -4 Reorder the terms: -5(3 + z) = 4z + -4 (3 * -5 + z * -5) = 4z + -4 (-15 + -5z) = 4z + -4 Reorder the terms: -15 + -5z = -4 + 4z Solving -15 + -5z = -4 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -15 + -5z + -4z = -4 + 4z + -4z Combine like terms: -5z + -4z = -9z -15 + -9z = -4 + 4z + -4z Combine like terms: 4z + -4z = 0 -15 + -9z = -4 + 0 -15 + -9z = -4 Add '15' to each side of the equation. -15 + 15 + -9z = -4 + 15 Combine like terms: -15 + 15 = 0 0 + -9z = -4 + 15 -9z = -4 + 15 Combine like terms: -4 + 15 = 11 -9z = 11 Divide each side by '-9'. z = -1.222222222 Simplifying z = -1.222222222
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