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Simplifying -7(z + -6) = 3z + -8 Reorder the terms: -7(-6 + z) = 3z + -8 (-6 * -7 + z * -7) = 3z + -8 (42 + -7z) = 3z + -8 Reorder the terms: 42 + -7z = -8 + 3z Solving 42 + -7z = -8 + 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 + -7z + -3z = -8 + 3z + -3z Combine like terms: -7z + -3z = -10z 42 + -10z = -8 + 3z + -3z Combine like terms: 3z + -3z = 0 42 + -10z = -8 + 0 42 + -10z = -8 Add '-42' to each side of the equation. 42 + -42 + -10z = -8 + -42 Combine like terms: 42 + -42 = 0 0 + -10z = -8 + -42 -10z = -8 + -42 Combine like terms: -8 + -42 = -50 -10z = -50 Divide each side by '-10'. z = 5 Simplifying z = 5
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