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Simplifying (7 + -5z) + -1(2 + -1z) = 17 + 4z Remove parenthesis around (7 + -5z) 7 + -5z + -1(2 + -1z) = 17 + 4z 7 + -5z + (2 * -1 + -1z * -1) = 17 + 4z 7 + -5z + (-2 + 1z) = 17 + 4z Reorder the terms: 7 + -2 + -5z + 1z = 17 + 4z Combine like terms: 7 + -2 = 5 5 + -5z + 1z = 17 + 4z Combine like terms: -5z + 1z = -4z 5 + -4z = 17 + 4z Solving 5 + -4z = 17 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 5 + -4z + -4z = 17 + 4z + -4z Combine like terms: -4z + -4z = -8z 5 + -8z = 17 + 4z + -4z Combine like terms: 4z + -4z = 0 5 + -8z = 17 + 0 5 + -8z = 17 Add '-5' to each side of the equation. 5 + -5 + -8z = 17 + -5 Combine like terms: 5 + -5 = 0 0 + -8z = 17 + -5 -8z = 17 + -5 Combine like terms: 17 + -5 = 12 -8z = 12 Divide each side by '-8'. z = -1.5 Simplifying z = -1.5
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