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Simplifying -4(2z + -3) + 3(z + -9) = 20 Reorder the terms: -4(-3 + 2z) + 3(z + -9) = 20 (-3 * -4 + 2z * -4) + 3(z + -9) = 20 (12 + -8z) + 3(z + -9) = 20 Reorder the terms: 12 + -8z + 3(-9 + z) = 20 12 + -8z + (-9 * 3 + z * 3) = 20 12 + -8z + (-27 + 3z) = 20 Reorder the terms: 12 + -27 + -8z + 3z = 20 Combine like terms: 12 + -27 = -15 -15 + -8z + 3z = 20 Combine like terms: -8z + 3z = -5z -15 + -5z = 20 Solving -15 + -5z = 20 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 + -5z = 20 + 15 Combine like terms: -15 + 15 = 0 0 + -5z = 20 + 15 -5z = 20 + 15 Combine like terms: 20 + 15 = 35 -5z = 35 Divide each side by '-5'. z = -7 Simplifying z = -7
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