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Simplifying 3 + -6(4 + 5m) = 2 + -7m 3 + (4 * -6 + 5m * -6) = 2 + -7m 3 + (-24 + -30m) = 2 + -7m Combine like terms: 3 + -24 = -21 -21 + -30m = 2 + -7m Solving -21 + -30m = 2 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. -21 + -30m + 7m = 2 + -7m + 7m Combine like terms: -30m + 7m = -23m -21 + -23m = 2 + -7m + 7m Combine like terms: -7m + 7m = 0 -21 + -23m = 2 + 0 -21 + -23m = 2 Add '21' to each side of the equation. -21 + 21 + -23m = 2 + 21 Combine like terms: -21 + 21 = 0 0 + -23m = 2 + 21 -23m = 2 + 21 Combine like terms: 2 + 21 = 23 -23m = 23 Divide each side by '-23'. m = -1 Simplifying m = -1
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