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Simplifying -7m + -35 = m + -3(1 + 8m) Reorder the terms: -35 + -7m = m + -3(1 + 8m) -35 + -7m = m + (1 * -3 + 8m * -3) -35 + -7m = m + (-3 + -24m) Reorder the terms: -35 + -7m = -3 + m + -24m Combine like terms: m + -24m = -23m -35 + -7m = -3 + -23m Solving -35 + -7m = -3 + -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. -35 + -7m + 23m = -3 + -23m + 23m Combine like terms: -7m + 23m = 16m -35 + 16m = -3 + -23m + 23m Combine like terms: -23m + 23m = 0 -35 + 16m = -3 + 0 -35 + 16m = -3 Add '35' to each side of the equation. -35 + 35 + 16m = -3 + 35 Combine like terms: -35 + 35 = 0 0 + 16m = -3 + 35 16m = -3 + 35 Combine like terms: -3 + 35 = 32 16m = 32 Divide each side by '16'. m = 2 Simplifying m = 2
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