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Simplifying 3(2z + -1) = -3(z + -4) + 3 Reorder the terms: 3(-1 + 2z) = -3(z + -4) + 3 (-1 * 3 + 2z * 3) = -3(z + -4) + 3 (-3 + 6z) = -3(z + -4) + 3 Reorder the terms: -3 + 6z = -3(-4 + z) + 3 -3 + 6z = (-4 * -3 + z * -3) + 3 -3 + 6z = (12 + -3z) + 3 Reorder the terms: -3 + 6z = 12 + 3 + -3z Combine like terms: 12 + 3 = 15 -3 + 6z = 15 + -3z Solving -3 + 6z = 15 + -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. -3 + 6z + 3z = 15 + -3z + 3z Combine like terms: 6z + 3z = 9z -3 + 9z = 15 + -3z + 3z Combine like terms: -3z + 3z = 0 -3 + 9z = 15 + 0 -3 + 9z = 15 Add '3' to each side of the equation. -3 + 3 + 9z = 15 + 3 Combine like terms: -3 + 3 = 0 0 + 9z = 15 + 3 9z = 15 + 3 Combine like terms: 15 + 3 = 18 9z = 18 Divide each side by '9'. z = 2 Simplifying z = 2
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