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Simplifying 5(z + 2) = 3(z + 1) + -7 Reorder the terms: 5(2 + z) = 3(z + 1) + -7 (2 * 5 + z * 5) = 3(z + 1) + -7 (10 + 5z) = 3(z + 1) + -7 Reorder the terms: 10 + 5z = 3(1 + z) + -7 10 + 5z = (1 * 3 + z * 3) + -7 10 + 5z = (3 + 3z) + -7 Reorder the terms: 10 + 5z = 3 + -7 + 3z Combine like terms: 3 + -7 = -4 10 + 5z = -4 + 3z Solving 10 + 5z = -4 + 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. 10 + 5z + -3z = -4 + 3z + -3z Combine like terms: 5z + -3z = 2z 10 + 2z = -4 + 3z + -3z Combine like terms: 3z + -3z = 0 10 + 2z = -4 + 0 10 + 2z = -4 Add '-10' to each side of the equation. 10 + -10 + 2z = -4 + -10 Combine like terms: 10 + -10 = 0 0 + 2z = -4 + -10 2z = -4 + -10 Combine like terms: -4 + -10 = -14 2z = -14 Divide each side by '2'. z = -7 Simplifying z = -7
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