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Simplifying 2m + -8(3 + 6m) = 7m + -6m + -24 2m + (3 * -8 + 6m * -8) = 7m + -6m + -24 2m + (-24 + -48m) = 7m + -6m + -24 Reorder the terms: -24 + 2m + -48m = 7m + -6m + -24 Combine like terms: 2m + -48m = -46m -24 + -46m = 7m + -6m + -24 Reorder the terms: -24 + -46m = -24 + 7m + -6m Combine like terms: 7m + -6m = 1m -24 + -46m = -24 + 1m Add '24' to each side of the equation. -24 + 24 + -46m = -24 + 24 + 1m Combine like terms: -24 + 24 = 0 0 + -46m = -24 + 24 + 1m -46m = -24 + 24 + 1m Combine like terms: -24 + 24 = 0 -46m = 0 + 1m -46m = 1m Solving -46m = 1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. -46m + -1m = 1m + -1m Combine like terms: -46m + -1m = -47m -47m = 1m + -1m Combine like terms: 1m + -1m = 0 -47m = 0 Divide each side by '-47'. m = 0 Simplifying m = 0
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