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Simplifying 7(z + 2) = 3(z + 1) + -13 Reorder the terms: 7(2 + z) = 3(z + 1) + -13 (2 * 7 + z * 7) = 3(z + 1) + -13 (14 + 7z) = 3(z + 1) + -13 Reorder the terms: 14 + 7z = 3(1 + z) + -13 14 + 7z = (1 * 3 + z * 3) + -13 14 + 7z = (3 + 3z) + -13 Reorder the terms: 14 + 7z = 3 + -13 + 3z Combine like terms: 3 + -13 = -10 14 + 7z = -10 + 3z Solving 14 + 7z = -10 + 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. 14 + 7z + -3z = -10 + 3z + -3z Combine like terms: 7z + -3z = 4z 14 + 4z = -10 + 3z + -3z Combine like terms: 3z + -3z = 0 14 + 4z = -10 + 0 14 + 4z = -10 Add '-14' to each side of the equation. 14 + -14 + 4z = -10 + -14 Combine like terms: 14 + -14 = 0 0 + 4z = -10 + -14 4z = -10 + -14 Combine like terms: -10 + -14 = -24 4z = -24 Divide each side by '4'. z = -6 Simplifying z = -6
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