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Simplifying 7(2m + 6) + 8 = 36m + 54 Reorder the terms: 7(6 + 2m) + 8 = 36m + 54 (6 * 7 + 2m * 7) + 8 = 36m + 54 (42 + 14m) + 8 = 36m + 54 Reorder the terms: 42 + 8 + 14m = 36m + 54 Combine like terms: 42 + 8 = 50 50 + 14m = 36m + 54 Reorder the terms: 50 + 14m = 54 + 36m Solving 50 + 14m = 54 + 36m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-36m' to each side of the equation. 50 + 14m + -36m = 54 + 36m + -36m Combine like terms: 14m + -36m = -22m 50 + -22m = 54 + 36m + -36m Combine like terms: 36m + -36m = 0 50 + -22m = 54 + 0 50 + -22m = 54 Add '-50' to each side of the equation. 50 + -50 + -22m = 54 + -50 Combine like terms: 50 + -50 = 0 0 + -22m = 54 + -50 -22m = 54 + -50 Combine like terms: 54 + -50 = 4 -22m = 4 Divide each side by '-22'. m = -0.1818181818 Simplifying m = -0.1818181818
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