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Simplifying 3(z + -1) + -1(6 + -3z) = 5z Reorder the terms: 3(-1 + z) + -1(6 + -3z) = 5z (-1 * 3 + z * 3) + -1(6 + -3z) = 5z (-3 + 3z) + -1(6 + -3z) = 5z -3 + 3z + (6 * -1 + -3z * -1) = 5z -3 + 3z + (-6 + 3z) = 5z Reorder the terms: -3 + -6 + 3z + 3z = 5z Combine like terms: -3 + -6 = -9 -9 + 3z + 3z = 5z Combine like terms: 3z + 3z = 6z -9 + 6z = 5z Solving -9 + 6z = 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. -9 + 6z + -5z = 5z + -5z Combine like terms: 6z + -5z = 1z -9 + 1z = 5z + -5z Combine like terms: 5z + -5z = 0 -9 + 1z = 0 Add '9' to each side of the equation. -9 + 9 + 1z = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 1z = 0 + 9 1z = 0 + 9 Combine like terms: 0 + 9 = 9 1z = 9 Divide each side by '1'. z = 9 Simplifying z = 9
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