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Simplifying 462 = 8(-6 + -8m) + -2 462 = (-6 * 8 + -8m * 8) + -2 462 = (-48 + -64m) + -2 Reorder the terms: 462 = -48 + -2 + -64m Combine like terms: -48 + -2 = -50 462 = -50 + -64m Solving 462 = -50 + -64m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '64m' to each side of the equation. 462 + 64m = -50 + -64m + 64m Combine like terms: -64m + 64m = 0 462 + 64m = -50 + 0 462 + 64m = -50 Add '-462' to each side of the equation. 462 + -462 + 64m = -50 + -462 Combine like terms: 462 + -462 = 0 0 + 64m = -50 + -462 64m = -50 + -462 Combine like terms: -50 + -462 = -512 64m = -512 Divide each side by '64'. m = -8 Simplifying m = -8
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