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Simplifying -8z + 7 = 8 + 3(z + -5) Reorder the terms: 7 + -8z = 8 + 3(z + -5) Reorder the terms: 7 + -8z = 8 + 3(-5 + z) 7 + -8z = 8 + (-5 * 3 + z * 3) 7 + -8z = 8 + (-15 + 3z) Combine like terms: 8 + -15 = -7 7 + -8z = -7 + 3z Solving 7 + -8z = -7 + 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. 7 + -8z + -3z = -7 + 3z + -3z Combine like terms: -8z + -3z = -11z 7 + -11z = -7 + 3z + -3z Combine like terms: 3z + -3z = 0 7 + -11z = -7 + 0 7 + -11z = -7 Add '-7' to each side of the equation. 7 + -7 + -11z = -7 + -7 Combine like terms: 7 + -7 = 0 0 + -11z = -7 + -7 -11z = -7 + -7 Combine like terms: -7 + -7 = -14 -11z = -14 Divide each side by '-11'. z = 1.272727273 Simplifying z = 1.272727273
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