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Simplifying 4(z + 7) = 15(z + 2) + 11 Reorder the terms: 4(7 + z) = 15(z + 2) + 11 (7 * 4 + z * 4) = 15(z + 2) + 11 (28 + 4z) = 15(z + 2) + 11 Reorder the terms: 28 + 4z = 15(2 + z) + 11 28 + 4z = (2 * 15 + z * 15) + 11 28 + 4z = (30 + 15z) + 11 Reorder the terms: 28 + 4z = 30 + 11 + 15z Combine like terms: 30 + 11 = 41 28 + 4z = 41 + 15z Solving 28 + 4z = 41 + 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. 28 + 4z + -15z = 41 + 15z + -15z Combine like terms: 4z + -15z = -11z 28 + -11z = 41 + 15z + -15z Combine like terms: 15z + -15z = 0 28 + -11z = 41 + 0 28 + -11z = 41 Add '-28' to each side of the equation. 28 + -28 + -11z = 41 + -28 Combine like terms: 28 + -28 = 0 0 + -11z = 41 + -28 -11z = 41 + -28 Combine like terms: 41 + -28 = 13 -11z = 13 Divide each side by '-11'. z = -1.181818182 Simplifying z = -1.181818182
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