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Simplifying 4(7 + 2z) = 15 + -8z (7 * 4 + 2z * 4) = 15 + -8z (28 + 8z) = 15 + -8z Solving 28 + 8z = 15 + -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. 28 + 8z + 8z = 15 + -8z + 8z Combine like terms: 8z + 8z = 16z 28 + 16z = 15 + -8z + 8z Combine like terms: -8z + 8z = 0 28 + 16z = 15 + 0 28 + 16z = 15 Add '-28' to each side of the equation. 28 + -28 + 16z = 15 + -28 Combine like terms: 28 + -28 = 0 0 + 16z = 15 + -28 16z = 15 + -28 Combine like terms: 15 + -28 = -13 16z = -13 Divide each side by '16'. z = -0.8125 Simplifying z = -0.8125
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