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Simplifying 3(z + -6) = 5(z + -6) Reorder the terms: 3(-6 + z) = 5(z + -6) (-6 * 3 + z * 3) = 5(z + -6) (-18 + 3z) = 5(z + -6) Reorder the terms: -18 + 3z = 5(-6 + z) -18 + 3z = (-6 * 5 + z * 5) -18 + 3z = (-30 + 5z) Solving -18 + 3z = -30 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -18 + 3z + -5z = -30 + 5z + -5z Combine like terms: 3z + -5z = -2z -18 + -2z = -30 + 5z + -5z Combine like terms: 5z + -5z = 0 -18 + -2z = -30 + 0 -18 + -2z = -30 Add '18' to each side of the equation. -18 + 18 + -2z = -30 + 18 Combine like terms: -18 + 18 = 0 0 + -2z = -30 + 18 -2z = -30 + 18 Combine like terms: -30 + 18 = -12 -2z = -12 Divide each side by '-2'. z = 6 Simplifying z = 6
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