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Simplifying 6(3z + 7) = 15 + -9z Reorder the terms: 6(7 + 3z) = 15 + -9z (7 * 6 + 3z * 6) = 15 + -9z (42 + 18z) = 15 + -9z Solving 42 + 18z = 15 + -9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9z' to each side of the equation. 42 + 18z + 9z = 15 + -9z + 9z Combine like terms: 18z + 9z = 27z 42 + 27z = 15 + -9z + 9z Combine like terms: -9z + 9z = 0 42 + 27z = 15 + 0 42 + 27z = 15 Add '-42' to each side of the equation. 42 + -42 + 27z = 15 + -42 Combine like terms: 42 + -42 = 0 0 + 27z = 15 + -42 27z = 15 + -42 Combine like terms: 15 + -42 = -27 27z = -27 Divide each side by '27'. z = -1 Simplifying z = -1
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