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Simplifying 8(z + 6) = 9z + -1 Reorder the terms: 8(6 + z) = 9z + -1 (6 * 8 + z * 8) = 9z + -1 (48 + 8z) = 9z + -1 Reorder the terms: 48 + 8z = -1 + 9z Solving 48 + 8z = -1 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 48 + 8z + -9z = -1 + 9z + -9z Combine like terms: 8z + -9z = -1z 48 + -1z = -1 + 9z + -9z Combine like terms: 9z + -9z = 0 48 + -1z = -1 + 0 48 + -1z = -1 Add '-48' to each side of the equation. 48 + -48 + -1z = -1 + -48 Combine like terms: 48 + -48 = 0 0 + -1z = -1 + -48 -1z = -1 + -48 Combine like terms: -1 + -48 = -49 -1z = -49 Divide each side by '-1'. z = 49 Simplifying z = 49
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