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Simplifying 3(z + 5) + -5 = 4z + 7(z + -2) Reorder the terms: 3(5 + z) + -5 = 4z + 7(z + -2) (5 * 3 + z * 3) + -5 = 4z + 7(z + -2) (15 + 3z) + -5 = 4z + 7(z + -2) Reorder the terms: 15 + -5 + 3z = 4z + 7(z + -2) Combine like terms: 15 + -5 = 10 10 + 3z = 4z + 7(z + -2) Reorder the terms: 10 + 3z = 4z + 7(-2 + z) 10 + 3z = 4z + (-2 * 7 + z * 7) 10 + 3z = 4z + (-14 + 7z) Reorder the terms: 10 + 3z = -14 + 4z + 7z Combine like terms: 4z + 7z = 11z 10 + 3z = -14 + 11z Solving 10 + 3z = -14 + 11z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-11z' to each side of the equation. 10 + 3z + -11z = -14 + 11z + -11z Combine like terms: 3z + -11z = -8z 10 + -8z = -14 + 11z + -11z Combine like terms: 11z + -11z = 0 10 + -8z = -14 + 0 10 + -8z = -14 Add '-10' to each side of the equation. 10 + -10 + -8z = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -8z = -14 + -10 -8z = -14 + -10 Combine like terms: -14 + -10 = -24 -8z = -24 Divide each side by '-8'. z = 3 Simplifying z = 3
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