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Simplifying -14(2 + 1) + 5(4z + -5) = 5(z + -4) + 12 Combine like terms: 2 + 1 = 3 -14(3) + 5(4z + -5) = 5(z + -4) + 12 Multiply -14 * 3 -42 + 5(4z + -5) = 5(z + -4) + 12 Reorder the terms: -42 + 5(-5 + 4z) = 5(z + -4) + 12 -42 + (-5 * 5 + 4z * 5) = 5(z + -4) + 12 -42 + (-25 + 20z) = 5(z + -4) + 12 Combine like terms: -42 + -25 = -67 -67 + 20z = 5(z + -4) + 12 Reorder the terms: -67 + 20z = 5(-4 + z) + 12 -67 + 20z = (-4 * 5 + z * 5) + 12 -67 + 20z = (-20 + 5z) + 12 Reorder the terms: -67 + 20z = -20 + 12 + 5z Combine like terms: -20 + 12 = -8 -67 + 20z = -8 + 5z Solving -67 + 20z = -8 + 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. -67 + 20z + -5z = -8 + 5z + -5z Combine like terms: 20z + -5z = 15z -67 + 15z = -8 + 5z + -5z Combine like terms: 5z + -5z = 0 -67 + 15z = -8 + 0 -67 + 15z = -8 Add '67' to each side of the equation. -67 + 67 + 15z = -8 + 67 Combine like terms: -67 + 67 = 0 0 + 15z = -8 + 67 15z = -8 + 67 Combine like terms: -8 + 67 = 59 15z = 59 Divide each side by '15'. z = 3.933333333 Simplifying z = 3.933333333
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