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Simplifying 3(6 + -1z) = -1z(2) (6 * 3 + -1z * 3) = -1z(2) (18 + -3z) = -1z(2) Reorder the terms for easier multiplication: 18 + -3z = -1 * 2z Multiply -1 * 2 18 + -3z = -2z Solving 18 + -3z = -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 18 + -3z + 2z = -2z + 2z Combine like terms: -3z + 2z = -1z 18 + -1z = -2z + 2z Combine like terms: -2z + 2z = 0 18 + -1z = 0 Add '-18' to each side of the equation. 18 + -18 + -1z = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1z = 0 + -18 -1z = 0 + -18 Combine like terms: 0 + -18 = -18 -1z = -18 Divide each side by '-1'. z = 18 Simplifying z = 18
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