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Simplifying -514 = -6m + -8(8m + 3) Reorder the terms: -514 = -6m + -8(3 + 8m) -514 = -6m + (3 * -8 + 8m * -8) -514 = -6m + (-24 + -64m) Reorder the terms: -514 = -24 + -6m + -64m Combine like terms: -6m + -64m = -70m -514 = -24 + -70m Solving -514 = -24 + -70m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '70m' to each side of the equation. -514 + 70m = -24 + -70m + 70m Combine like terms: -70m + 70m = 0 -514 + 70m = -24 + 0 -514 + 70m = -24 Add '514' to each side of the equation. -514 + 514 + 70m = -24 + 514 Combine like terms: -514 + 514 = 0 0 + 70m = -24 + 514 70m = -24 + 514 Combine like terms: -24 + 514 = 490 70m = 490 Divide each side by '70'. m = 7 Simplifying m = 7
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