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Simplifying -6(1 + 3z) = 30 (1 * -6 + 3z * -6) = 30 (-6 + -18z) = 30 Solving -6 + -18z = 30 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -18z = 30 + 6 Combine like terms: -6 + 6 = 0 0 + -18z = 30 + 6 -18z = 30 + 6 Combine like terms: 30 + 6 = 36 -18z = 36 Divide each side by '-18'. z = -2 Simplifying z = -2
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