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Simplifying 3[4 + -2(7m + 1)] + -3m = 0 Reorder the terms: 3[4 + -2(1 + 7m)] + -3m = 0 3[4 + (1 * -2 + 7m * -2)] + -3m = 0 3[4 + (-2 + -14m)] + -3m = 0 Combine like terms: 4 + -2 = 2 3[2 + -14m] + -3m = 0 [2 * 3 + -14m * 3] + -3m = 0 [6 + -42m] + -3m = 0 Combine like terms: -42m + -3m = -45m 6 + -45m = 0 Solving 6 + -45m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -45m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -45m = 0 + -6 -45m = 0 + -6 Combine like terms: 0 + -6 = -6 -45m = -6 Divide each side by '-45'. m = 0.1333333333 Simplifying m = 0.1333333333
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