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Simplifying 4(3z + -1) = 5z + 17 Reorder the terms: 4(-1 + 3z) = 5z + 17 (-1 * 4 + 3z * 4) = 5z + 17 (-4 + 12z) = 5z + 17 Reorder the terms: -4 + 12z = 17 + 5z Solving -4 + 12z = 17 + 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. -4 + 12z + -5z = 17 + 5z + -5z Combine like terms: 12z + -5z = 7z -4 + 7z = 17 + 5z + -5z Combine like terms: 5z + -5z = 0 -4 + 7z = 17 + 0 -4 + 7z = 17 Add '4' to each side of the equation. -4 + 4 + 7z = 17 + 4 Combine like terms: -4 + 4 = 0 0 + 7z = 17 + 4 7z = 17 + 4 Combine like terms: 17 + 4 = 21 7z = 21 Divide each side by '7'. z = 3 Simplifying z = 3
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