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Simplifying 7 + -3(8m + -5) = 8(3 + -2m) + -7m Reorder the terms: 7 + -3(-5 + 8m) = 8(3 + -2m) + -7m 7 + (-5 * -3 + 8m * -3) = 8(3 + -2m) + -7m 7 + (15 + -24m) = 8(3 + -2m) + -7m Combine like terms: 7 + 15 = 22 22 + -24m = 8(3 + -2m) + -7m 22 + -24m = (3 * 8 + -2m * 8) + -7m 22 + -24m = (24 + -16m) + -7m Combine like terms: -16m + -7m = -23m 22 + -24m = 24 + -23m Solving 22 + -24m = 24 + -23m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '23m' to each side of the equation. 22 + -24m + 23m = 24 + -23m + 23m Combine like terms: -24m + 23m = -1m 22 + -1m = 24 + -23m + 23m Combine like terms: -23m + 23m = 0 22 + -1m = 24 + 0 22 + -1m = 24 Add '-22' to each side of the equation. 22 + -22 + -1m = 24 + -22 Combine like terms: 22 + -22 = 0 0 + -1m = 24 + -22 -1m = 24 + -22 Combine like terms: 24 + -22 = 2 -1m = 2 Divide each side by '-1'. m = -2 Simplifying m = -2
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