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Simplifying 3(4z + -5) = 8(x + -4) + -14 Reorder the terms: 3(-5 + 4z) = 8(x + -4) + -14 (-5 * 3 + 4z * 3) = 8(x + -4) + -14 (-15 + 12z) = 8(x + -4) + -14 Reorder the terms: -15 + 12z = 8(-4 + x) + -14 -15 + 12z = (-4 * 8 + x * 8) + -14 -15 + 12z = (-32 + 8x) + -14 Reorder the terms: -15 + 12z = -32 + -14 + 8x Combine like terms: -32 + -14 = -46 -15 + 12z = -46 + 8x Solving -15 + 12z = -46 + 8x 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 + 12z = -46 + 15 + 8x Combine like terms: -15 + 15 = 0 0 + 12z = -46 + 15 + 8x 12z = -46 + 15 + 8x Combine like terms: -46 + 15 = -31 12z = -31 + 8x Divide each side by '12'. z = -2.583333333 + 0.6666666667x Simplifying z = -2.583333333 + 0.6666666667x
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