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Simplifying 7(7 + 5m) + (m + 6) = 0 (7 * 7 + 5m * 7) + (m + 6) = 0 (49 + 35m) + (m + 6) = 0 Reorder the terms: 49 + 35m + (6 + m) = 0 Remove parenthesis around (6 + m) 49 + 35m + 6 + m = 0 Reorder the terms: 49 + 6 + 35m + m = 0 Combine like terms: 49 + 6 = 55 55 + 35m + m = 0 Combine like terms: 35m + m = 36m 55 + 36m = 0 Solving 55 + 36m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + 36m = 0 + -55 Combine like terms: 55 + -55 = 0 0 + 36m = 0 + -55 36m = 0 + -55 Combine like terms: 0 + -55 = -55 36m = -55 Divide each side by '36'. m = -1.527777778 Simplifying m = -1.527777778
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