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Simplifying 8 + -5(4 + 6m) = 34 + -7m 8 + (4 * -5 + 6m * -5) = 34 + -7m 8 + (-20 + -30m) = 34 + -7m Combine like terms: 8 + -20 = -12 -12 + -30m = 34 + -7m Solving -12 + -30m = 34 + -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. -12 + -30m + 7m = 34 + -7m + 7m Combine like terms: -30m + 7m = -23m -12 + -23m = 34 + -7m + 7m Combine like terms: -7m + 7m = 0 -12 + -23m = 34 + 0 -12 + -23m = 34 Add '12' to each side of the equation. -12 + 12 + -23m = 34 + 12 Combine like terms: -12 + 12 = 0 0 + -23m = 34 + 12 -23m = 34 + 12 Combine like terms: 34 + 12 = 46 -23m = 46 Divide each side by '-23'. m = -2 Simplifying m = -2
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