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Simplifying 18z + -1(z + 12) = 3(5z + 44) Reorder the terms: 18z + -1(12 + z) = 3(5z + 44) 18z + (12 * -1 + z * -1) = 3(5z + 44) 18z + (-12 + -1z) = 3(5z + 44) Reorder the terms: -12 + 18z + -1z = 3(5z + 44) Combine like terms: 18z + -1z = 17z -12 + 17z = 3(5z + 44) Reorder the terms: -12 + 17z = 3(44 + 5z) -12 + 17z = (44 * 3 + 5z * 3) -12 + 17z = (132 + 15z) Solving -12 + 17z = 132 + 15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15z' to each side of the equation. -12 + 17z + -15z = 132 + 15z + -15z Combine like terms: 17z + -15z = 2z -12 + 2z = 132 + 15z + -15z Combine like terms: 15z + -15z = 0 -12 + 2z = 132 + 0 -12 + 2z = 132 Add '12' to each side of the equation. -12 + 12 + 2z = 132 + 12 Combine like terms: -12 + 12 = 0 0 + 2z = 132 + 12 2z = 132 + 12 Combine like terms: 132 + 12 = 144 2z = 144 Divide each side by '2'. z = 72 Simplifying z = 72
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