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Simplifying 6(z + -3) = 6 + 7z Reorder the terms: 6(-3 + z) = 6 + 7z (-3 * 6 + z * 6) = 6 + 7z (-18 + 6z) = 6 + 7z Solving -18 + 6z = 6 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -18 + 6z + -7z = 6 + 7z + -7z Combine like terms: 6z + -7z = -1z -18 + -1z = 6 + 7z + -7z Combine like terms: 7z + -7z = 0 -18 + -1z = 6 + 0 -18 + -1z = 6 Add '18' to each side of the equation. -18 + 18 + -1z = 6 + 18 Combine like terms: -18 + 18 = 0 0 + -1z = 6 + 18 -1z = 6 + 18 Combine like terms: 6 + 18 = 24 -1z = 24 Divide each side by '-1'. z = -24 Simplifying z = -24
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