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Simplifying 9 + -6(4z + -1) = z + 15 Reorder the terms: 9 + -6(-1 + 4z) = z + 15 9 + (-1 * -6 + 4z * -6) = z + 15 9 + (6 + -24z) = z + 15 Combine like terms: 9 + 6 = 15 15 + -24z = z + 15 Reorder the terms: 15 + -24z = 15 + z Add '-15' to each side of the equation. 15 + -15 + -24z = 15 + -15 + z Combine like terms: 15 + -15 = 0 0 + -24z = 15 + -15 + z -24z = 15 + -15 + z Combine like terms: 15 + -15 = 0 -24z = 0 + z -24z = z Solving -24z = z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -24z + -1z = z + -1z Combine like terms: -24z + -1z = -25z -25z = z + -1z Combine like terms: z + -1z = 0 -25z = 0 Divide each side by '-25'. z = 0 Simplifying z = 0
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