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Simplifying 7(x + 4m + 6) = 0 Reorder the terms: 7(6 + 4m + x) = 0 (6 * 7 + 4m * 7 + x * 7) = 0 (42 + 28m + 7x) = 0 Solving 42 + 28m + 7x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + 28m + -42 + 7x = 0 + -42 Reorder the terms: 42 + -42 + 28m + 7x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 28m + 7x = 0 + -42 28m + 7x = 0 + -42 Combine like terms: 0 + -42 = -42 28m + 7x = -42 Add '-7x' to each side of the equation. 28m + 7x + -7x = -42 + -7x Combine like terms: 7x + -7x = 0 28m + 0 = -42 + -7x 28m = -42 + -7x Divide each side by '28'. m = -1.5 + -0.25x Simplifying m = -1.5 + -0.25x
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