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Simplifying -1(3z + 4) = 6z + 9z + 6 Reorder the terms: -1(4 + 3z) = 6z + 9z + 6 (4 * -1 + 3z * -1) = 6z + 9z + 6 (-4 + -3z) = 6z + 9z + 6 Reorder the terms: -4 + -3z = 6 + 6z + 9z Combine like terms: 6z + 9z = 15z -4 + -3z = 6 + 15z Solving -4 + -3z = 6 + 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. -4 + -3z + -15z = 6 + 15z + -15z Combine like terms: -3z + -15z = -18z -4 + -18z = 6 + 15z + -15z Combine like terms: 15z + -15z = 0 -4 + -18z = 6 + 0 -4 + -18z = 6 Add '4' to each side of the equation. -4 + 4 + -18z = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -18z = 6 + 4 -18z = 6 + 4 Combine like terms: 6 + 4 = 10 -18z = 10 Divide each side by '-18'. z = -0.5555555556 Simplifying z = -0.5555555556
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