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Simplifying 26 + -43 = 3(z + -1) + -5 Combine like terms: 26 + -43 = -17 -17 = 3(z + -1) + -5 Reorder the terms: -17 = 3(-1 + z) + -5 -17 = (-1 * 3 + z * 3) + -5 -17 = (-3 + 3z) + -5 Reorder the terms: -17 = -3 + -5 + 3z Combine like terms: -3 + -5 = -8 -17 = -8 + 3z Solving -17 = -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. -17 + -3z = -8 + 3z + -3z Combine like terms: 3z + -3z = 0 -17 + -3z = -8 + 0 -17 + -3z = -8 Add '17' to each side of the equation. -17 + 17 + -3z = -8 + 17 Combine like terms: -17 + 17 = 0 0 + -3z = -8 + 17 -3z = -8 + 17 Combine like terms: -8 + 17 = 9 -3z = 9 Divide each side by '-3'. z = -3 Simplifying z = -3
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