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Simplifying -6(2z + 1) = 2(9 + -2z) Reorder the terms: -6(1 + 2z) = 2(9 + -2z) (1 * -6 + 2z * -6) = 2(9 + -2z) (-6 + -12z) = 2(9 + -2z) -6 + -12z = (9 * 2 + -2z * 2) -6 + -12z = (18 + -4z) Solving -6 + -12z = 18 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. -6 + -12z + 4z = 18 + -4z + 4z Combine like terms: -12z + 4z = -8z -6 + -8z = 18 + -4z + 4z Combine like terms: -4z + 4z = 0 -6 + -8z = 18 + 0 -6 + -8z = 18 Add '6' to each side of the equation. -6 + 6 + -8z = 18 + 6 Combine like terms: -6 + 6 = 0 0 + -8z = 18 + 6 -8z = 18 + 6 Combine like terms: 18 + 6 = 24 -8z = 24 Divide each side by '-8'. z = -3 Simplifying z = -3
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