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Simplifying -1(3z + 4) = 2(6m + 8) Reorder the terms: -1(4 + 3z) = 2(6m + 8) (4 * -1 + 3z * -1) = 2(6m + 8) (-4 + -3z) = 2(6m + 8) Reorder the terms: -4 + -3z = 2(8 + 6m) -4 + -3z = (8 * 2 + 6m * 2) -4 + -3z = (16 + 12m) Solving -4 + -3z = 16 + 12m Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3z = 16 + 4 + 12m Combine like terms: -4 + 4 = 0 0 + -3z = 16 + 4 + 12m -3z = 16 + 4 + 12m Combine like terms: 16 + 4 = 20 -3z = 20 + 12m Divide each side by '-3'. z = -6.666666667 + -4m Simplifying z = -6.666666667 + -4m
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