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Simplifying 3(z + -6) = 8(z + 5) + -18 Reorder the terms: 3(-6 + z) = 8(z + 5) + -18 (-6 * 3 + z * 3) = 8(z + 5) + -18 (-18 + 3z) = 8(z + 5) + -18 Reorder the terms: -18 + 3z = 8(5 + z) + -18 -18 + 3z = (5 * 8 + z * 8) + -18 -18 + 3z = (40 + 8z) + -18 Reorder the terms: -18 + 3z = 40 + -18 + 8z Combine like terms: 40 + -18 = 22 -18 + 3z = 22 + 8z Solving -18 + 3z = 22 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -18 + 3z + -8z = 22 + 8z + -8z Combine like terms: 3z + -8z = -5z -18 + -5z = 22 + 8z + -8z Combine like terms: 8z + -8z = 0 -18 + -5z = 22 + 0 -18 + -5z = 22 Add '18' to each side of the equation. -18 + 18 + -5z = 22 + 18 Combine like terms: -18 + 18 = 0 0 + -5z = 22 + 18 -5z = 22 + 18 Combine like terms: 22 + 18 = 40 -5z = 40 Divide each side by '-5'. z = -8 Simplifying z = -8
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