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Simplifying 6(x + 7m + 3) = 0 Reorder the terms: 6(3 + 7m + x) = 0 (3 * 6 + 7m * 6 + x * 6) = 0 (18 + 42m + 6x) = 0 Solving 18 + 42m + 6x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 42m + -18 + 6x = 0 + -18 Reorder the terms: 18 + -18 + 42m + 6x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 42m + 6x = 0 + -18 42m + 6x = 0 + -18 Combine like terms: 0 + -18 = -18 42m + 6x = -18 Add '-6x' to each side of the equation. 42m + 6x + -6x = -18 + -6x Combine like terms: 6x + -6x = 0 42m + 0 = -18 + -6x 42m = -18 + -6x Divide each side by '42'. m = -0.4285714286 + -0.1428571429x Simplifying m = -0.4285714286 + -0.1428571429x
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