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Simplifying 3(z + -6) + -5z = 7z + -7 Reorder the terms: 3(-6 + z) + -5z = 7z + -7 (-6 * 3 + z * 3) + -5z = 7z + -7 (-18 + 3z) + -5z = 7z + -7 Combine like terms: 3z + -5z = -2z -18 + -2z = 7z + -7 Reorder the terms: -18 + -2z = -7 + 7z Solving -18 + -2z = -7 + 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 + -2z + -7z = -7 + 7z + -7z Combine like terms: -2z + -7z = -9z -18 + -9z = -7 + 7z + -7z Combine like terms: 7z + -7z = 0 -18 + -9z = -7 + 0 -18 + -9z = -7 Add '18' to each side of the equation. -18 + 18 + -9z = -7 + 18 Combine like terms: -18 + 18 = 0 0 + -9z = -7 + 18 -9z = -7 + 18 Combine like terms: -7 + 18 = 11 -9z = 11 Divide each side by '-9'. z = -1.222222222 Simplifying z = -1.222222222
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