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Simplifying -1(z + 9) + (2z + 1) = 7(z + 1) Reorder the terms: -1(9 + z) + (2z + 1) = 7(z + 1) (9 * -1 + z * -1) + (2z + 1) = 7(z + 1) (-9 + -1z) + (2z + 1) = 7(z + 1) Reorder the terms: -9 + -1z + (1 + 2z) = 7(z + 1) Remove parenthesis around (1 + 2z) -9 + -1z + 1 + 2z = 7(z + 1) Reorder the terms: -9 + 1 + -1z + 2z = 7(z + 1) Combine like terms: -9 + 1 = -8 -8 + -1z + 2z = 7(z + 1) Combine like terms: -1z + 2z = 1z -8 + 1z = 7(z + 1) Reorder the terms: -8 + 1z = 7(1 + z) -8 + 1z = (1 * 7 + z * 7) -8 + 1z = (7 + 7z) Solving -8 + 1z = 7 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -8 + 1z + -7z = 7 + 7z + -7z Combine like terms: 1z + -7z = -6z -8 + -6z = 7 + 7z + -7z Combine like terms: 7z + -7z = 0 -8 + -6z = 7 + 0 -8 + -6z = 7 Add '8' to each side of the equation. -8 + 8 + -6z = 7 + 8 Combine like terms: -8 + 8 = 0 0 + -6z = 7 + 8 -6z = 7 + 8 Combine like terms: 7 + 8 = 15 -6z = 15 Divide each side by '-6'. z = -2.5 Simplifying z = -2.5
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