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Simplifying -2m + 8(-3 + 5m) = 21 + -7m -2m + (-3 * 8 + 5m * 8) = 21 + -7m -2m + (-24 + 40m) = 21 + -7m Reorder the terms: -24 + -2m + 40m = 21 + -7m Combine like terms: -2m + 40m = 38m -24 + 38m = 21 + -7m Solving -24 + 38m = 21 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. -24 + 38m + 7m = 21 + -7m + 7m Combine like terms: 38m + 7m = 45m -24 + 45m = 21 + -7m + 7m Combine like terms: -7m + 7m = 0 -24 + 45m = 21 + 0 -24 + 45m = 21 Add '24' to each side of the equation. -24 + 24 + 45m = 21 + 24 Combine like terms: -24 + 24 = 0 0 + 45m = 21 + 24 45m = 21 + 24 Combine like terms: 21 + 24 = 45 45m = 45 Divide each side by '45'. m = 1 Simplifying m = 1
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