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Simplifying -6(z + 2) = 15z + 9 Reorder the terms: -6(2 + z) = 15z + 9 (2 * -6 + z * -6) = 15z + 9 (-12 + -6z) = 15z + 9 Reorder the terms: -12 + -6z = 9 + 15z Solving -12 + -6z = 9 + 15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15z' to each side of the equation. -12 + -6z + -15z = 9 + 15z + -15z Combine like terms: -6z + -15z = -21z -12 + -21z = 9 + 15z + -15z Combine like terms: 15z + -15z = 0 -12 + -21z = 9 + 0 -12 + -21z = 9 Add '12' to each side of the equation. -12 + 12 + -21z = 9 + 12 Combine like terms: -12 + 12 = 0 0 + -21z = 9 + 12 -21z = 9 + 12 Combine like terms: 9 + 12 = 21 -21z = 21 Divide each side by '-21'. z = -1 Simplifying z = -1
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