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Simplifying p + 7 + [3m + 1] + 2[m + p] = 0 Reorder the terms: p + 7 + [1 + 3m] + 2[m + p] = 0 Remove brackets around [1 + 3m] p + 7 + 1 + 3m + 2[m + p] = 0 p + 7 + 1 + 3m + [m * 2 + p * 2] = 0 p + 7 + 1 + 3m + [2m + 2p] = 0 Reorder the terms: 7 + 1 + 3m + 2m + p + 2p = 0 Combine like terms: 7 + 1 = 8 8 + 3m + 2m + p + 2p = 0 Combine like terms: 3m + 2m = 5m 8 + 5m + p + 2p = 0 Combine like terms: p + 2p = 3p 8 + 5m + 3p = 0 Solving 8 + 5m + 3p = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 5m + -8 + 3p = 0 + -8 Reorder the terms: 8 + -8 + 5m + 3p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5m + 3p = 0 + -8 5m + 3p = 0 + -8 Combine like terms: 0 + -8 = -8 5m + 3p = -8 Add '-3p' to each side of the equation. 5m + 3p + -3p = -8 + -3p Combine like terms: 3p + -3p = 0 5m + 0 = -8 + -3p 5m = -8 + -3p Divide each side by '5'. m = -1.6 + -0.6p Simplifying m = -1.6 + -0.6p
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