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Simplifying 7m + 8(m + -8) = 38 + -2m Reorder the terms: 7m + 8(-8 + m) = 38 + -2m 7m + (-8 * 8 + m * 8) = 38 + -2m 7m + (-64 + 8m) = 38 + -2m Reorder the terms: -64 + 7m + 8m = 38 + -2m Combine like terms: 7m + 8m = 15m -64 + 15m = 38 + -2m Solving -64 + 15m = 38 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. -64 + 15m + 2m = 38 + -2m + 2m Combine like terms: 15m + 2m = 17m -64 + 17m = 38 + -2m + 2m Combine like terms: -2m + 2m = 0 -64 + 17m = 38 + 0 -64 + 17m = 38 Add '64' to each side of the equation. -64 + 64 + 17m = 38 + 64 Combine like terms: -64 + 64 = 0 0 + 17m = 38 + 64 17m = 38 + 64 Combine like terms: 38 + 64 = 102 17m = 102 Divide each side by '17'. m = 6 Simplifying m = 6
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