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