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Simplifying 3(2z + -7) + 2(-1z + 3) = 9 Reorder the terms: 3(-7 + 2z) + 2(-1z + 3) = 9 (-7 * 3 + 2z * 3) + 2(-1z + 3) = 9 (-21 + 6z) + 2(-1z + 3) = 9 Reorder the terms: -21 + 6z + 2(3 + -1z) = 9 -21 + 6z + (3 * 2 + -1z * 2) = 9 -21 + 6z + (6 + -2z) = 9 Reorder the terms: -21 + 6 + 6z + -2z = 9 Combine like terms: -21 + 6 = -15 -15 + 6z + -2z = 9 Combine like terms: 6z + -2z = 4z -15 + 4z = 9 Solving -15 + 4z = 9 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 4z = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 4z = 9 + 15 4z = 9 + 15 Combine like terms: 9 + 15 = 24 4z = 24 Divide each side by '4'. z = 6 Simplifying z = 6
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