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Simplifying 36 + 6m = 89(m + 6) Reorder the terms: 36 + 6m = 89(6 + m) 36 + 6m = (6 * 89 + m * 89) 36 + 6m = (534 + 89m) Solving 36 + 6m = 534 + 89m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-89m' to each side of the equation. 36 + 6m + -89m = 534 + 89m + -89m Combine like terms: 6m + -89m = -83m 36 + -83m = 534 + 89m + -89m Combine like terms: 89m + -89m = 0 36 + -83m = 534 + 0 36 + -83m = 534 Add '-36' to each side of the equation. 36 + -36 + -83m = 534 + -36 Combine like terms: 36 + -36 = 0 0 + -83m = 534 + -36 -83m = 534 + -36 Combine like terms: 534 + -36 = 498 -83m = 498 Divide each side by '-83'. m = -6 Simplifying m = -6
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