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Simplifying -1(z + 8) + (22 + 1) = 6(z + 1) Reorder the terms: -1(8 + z) + (22 + 1) = 6(z + 1) (8 * -1 + z * -1) + (22 + 1) = 6(z + 1) (-8 + -1z) + (22 + 1) = 6(z + 1) Combine like terms: 22 + 1 = 23 -8 + -1z + (23) = 6(z + 1) -8 + -1z + 23 = 6(z + 1) Reorder the terms: -8 + 23 + -1z = 6(z + 1) Combine like terms: -8 + 23 = 15 15 + -1z = 6(z + 1) Reorder the terms: 15 + -1z = 6(1 + z) 15 + -1z = (1 * 6 + z * 6) 15 + -1z = (6 + 6z) Solving 15 + -1z = 6 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 15 + -1z + -6z = 6 + 6z + -6z Combine like terms: -1z + -6z = -7z 15 + -7z = 6 + 6z + -6z Combine like terms: 6z + -6z = 0 15 + -7z = 6 + 0 15 + -7z = 6 Add '-15' to each side of the equation. 15 + -15 + -7z = 6 + -15 Combine like terms: 15 + -15 = 0 0 + -7z = 6 + -15 -7z = 6 + -15 Combine like terms: 6 + -15 = -9 -7z = -9 Divide each side by '-7'. z = 1.285714286 Simplifying z = 1.285714286
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