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Simplifying 4(3z + -1) = 3z + 68 Reorder the terms: 4(-1 + 3z) = 3z + 68 (-1 * 4 + 3z * 4) = 3z + 68 (-4 + 12z) = 3z + 68 Reorder the terms: -4 + 12z = 68 + 3z Solving -4 + 12z = 68 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -4 + 12z + -3z = 68 + 3z + -3z Combine like terms: 12z + -3z = 9z -4 + 9z = 68 + 3z + -3z Combine like terms: 3z + -3z = 0 -4 + 9z = 68 + 0 -4 + 9z = 68 Add '4' to each side of the equation. -4 + 4 + 9z = 68 + 4 Combine like terms: -4 + 4 = 0 0 + 9z = 68 + 4 9z = 68 + 4 Combine like terms: 68 + 4 = 72 9z = 72 Divide each side by '9'. z = 8 Simplifying z = 8
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