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Simplifying 3(4z + -1) = 7(2x + -5) Reorder the terms: 3(-1 + 4z) = 7(2x + -5) (-1 * 3 + 4z * 3) = 7(2x + -5) (-3 + 12z) = 7(2x + -5) Reorder the terms: -3 + 12z = 7(-5 + 2x) -3 + 12z = (-5 * 7 + 2x * 7) -3 + 12z = (-35 + 14x) Solving -3 + 12z = -35 + 14x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 12z = -35 + 3 + 14x Combine like terms: -3 + 3 = 0 0 + 12z = -35 + 3 + 14x 12z = -35 + 3 + 14x Combine like terms: -35 + 3 = -32 12z = -32 + 14x Divide each side by '12'. z = -2.666666667 + 1.166666667x Simplifying z = -2.666666667 + 1.166666667x
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