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Simplifying -8(1 + -2m) + 7m = 8(-5m + -1) (1 * -8 + -2m * -8) + 7m = 8(-5m + -1) (-8 + 16m) + 7m = 8(-5m + -1) Combine like terms: 16m + 7m = 23m -8 + 23m = 8(-5m + -1) Reorder the terms: -8 + 23m = 8(-1 + -5m) -8 + 23m = (-1 * 8 + -5m * 8) -8 + 23m = (-8 + -40m) Add '8' to each side of the equation. -8 + 8 + 23m = -8 + 8 + -40m Combine like terms: -8 + 8 = 0 0 + 23m = -8 + 8 + -40m 23m = -8 + 8 + -40m Combine like terms: -8 + 8 = 0 23m = 0 + -40m 23m = -40m Solving 23m = -40m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '40m' to each side of the equation. 23m + 40m = -40m + 40m Combine like terms: 23m + 40m = 63m 63m = -40m + 40m Combine like terms: -40m + 40m = 0 63m = 0 Divide each side by '63'. m = 0 Simplifying m = 0
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