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Simplifying 6(4z + 4) = 4m + -1(6m + 2) Reorder the terms: 6(4 + 4z) = 4m + -1(6m + 2) (4 * 6 + 4z * 6) = 4m + -1(6m + 2) (24 + 24z) = 4m + -1(6m + 2) Reorder the terms: 24 + 24z = 4m + -1(2 + 6m) 24 + 24z = 4m + (2 * -1 + 6m * -1) 24 + 24z = 4m + (-2 + -6m) Reorder the terms: 24 + 24z = -2 + 4m + -6m Combine like terms: 4m + -6m = -2m 24 + 24z = -2 + -2m Solving 24 + 24z = -2 + -2m Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 24z = -2 + -24 + -2m Combine like terms: 24 + -24 = 0 0 + 24z = -2 + -24 + -2m 24z = -2 + -24 + -2m Combine like terms: -2 + -24 = -26 24z = -26 + -2m Divide each side by '24'. z = -1.083333333 + -0.08333333333m Simplifying z = -1.083333333 + -0.08333333333m
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