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Simplifying -15 = -8 + 5(z + -4) Reorder the terms: -15 = -8 + 5(-4 + z) -15 = -8 + (-4 * 5 + z * 5) -15 = -8 + (-20 + 5z) Combine like terms: -8 + -20 = -28 -15 = -28 + 5z Solving -15 = -28 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -15 + -5z = -28 + 5z + -5z Combine like terms: 5z + -5z = 0 -15 + -5z = -28 + 0 -15 + -5z = -28 Add '15' to each side of the equation. -15 + 15 + -5z = -28 + 15 Combine like terms: -15 + 15 = 0 0 + -5z = -28 + 15 -5z = -28 + 15 Combine like terms: -28 + 15 = -13 -5z = -13 Divide each side by '-5'. z = 2.6 Simplifying z = 2.6
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