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Simplifying 8 + 9(1 + -3m) + 4m = -6 8 + (1 * 9 + -3m * 9) + 4m = -6 8 + (9 + -27m) + 4m = -6 Combine like terms: 8 + 9 = 17 17 + -27m + 4m = -6 Combine like terms: -27m + 4m = -23m 17 + -23m = -6 Solving 17 + -23m = -6 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -23m = -6 + -17 Combine like terms: 17 + -17 = 0 0 + -23m = -6 + -17 -23m = -6 + -17 Combine like terms: -6 + -17 = -23 -23m = -23 Divide each side by '-23'. m = 1 Simplifying m = 1
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