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Simplifying -6(6 + 3m) = -1(m + 2) (6 * -6 + 3m * -6) = -1(m + 2) (-36 + -18m) = -1(m + 2) Reorder the terms: -36 + -18m = -1(2 + m) -36 + -18m = (2 * -1 + m * -1) -36 + -18m = (-2 + -1m) Solving -36 + -18m = -2 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. -36 + -18m + m = -2 + -1m + m Combine like terms: -18m + m = -17m -36 + -17m = -2 + -1m + m Combine like terms: -1m + m = 0 -36 + -17m = -2 + 0 -36 + -17m = -2 Add '36' to each side of the equation. -36 + 36 + -17m = -2 + 36 Combine like terms: -36 + 36 = 0 0 + -17m = -2 + 36 -17m = -2 + 36 Combine like terms: -2 + 36 = 34 -17m = 34 Divide each side by '-17'. m = -2 Simplifying m = -2
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