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Simplifying -1(z + 5) + (2z + 1) = -29 Reorder the terms: -1(5 + z) + (2z + 1) = -29 (5 * -1 + z * -1) + (2z + 1) = -29 (-5 + -1z) + (2z + 1) = -29 Reorder the terms: -5 + -1z + (1 + 2z) = -29 Remove parenthesis around (1 + 2z) -5 + -1z + 1 + 2z = -29 Reorder the terms: -5 + 1 + -1z + 2z = -29 Combine like terms: -5 + 1 = -4 -4 + -1z + 2z = -29 Combine like terms: -1z + 2z = 1z -4 + 1z = -29 Solving -4 + 1z = -29 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 1z = -29 + 4 Combine like terms: -4 + 4 = 0 0 + 1z = -29 + 4 1z = -29 + 4 Combine like terms: -29 + 4 = -25 1z = -25 Divide each side by '1'. z = -25 Simplifying z = -25
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