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Simplifying -18 + -6z = 6(1 + 3z) -18 + -6z = (1 * 6 + 3z * 6) -18 + -6z = (6 + 18z) Solving -18 + -6z = 6 + 18z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18z' to each side of the equation. -18 + -6z + -18z = 6 + 18z + -18z Combine like terms: -6z + -18z = -24z -18 + -24z = 6 + 18z + -18z Combine like terms: 18z + -18z = 0 -18 + -24z = 6 + 0 -18 + -24z = 6 Add '18' to each side of the equation. -18 + 18 + -24z = 6 + 18 Combine like terms: -18 + 18 = 0 0 + -24z = 6 + 18 -24z = 6 + 18 Combine like terms: 6 + 18 = 24 -24z = 24 Divide each side by '-24'. z = -1 Simplifying z = -1
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