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Simplifying -6m + 6n + 2p + -5 = -3n + -7p + -2 Reorder the terms: -5 + -6m + 6n + 2p = -3n + -7p + -2 Reorder the terms: -5 + -6m + 6n + 2p = -2 + -3n + -7p Solving -5 + -6m + 6n + 2p = -2 + -3n + -7p Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -6m + 6n + 5 + 2p = -2 + -3n + 5 + -7p Reorder the terms: -5 + 5 + -6m + 6n + 2p = -2 + -3n + 5 + -7p Combine like terms: -5 + 5 = 0 0 + -6m + 6n + 2p = -2 + -3n + 5 + -7p -6m + 6n + 2p = -2 + -3n + 5 + -7p Reorder the terms: -6m + 6n + 2p = -2 + 5 + -3n + -7p Combine like terms: -2 + 5 = 3 -6m + 6n + 2p = 3 + -3n + -7p Add '-6n' to each side of the equation. -6m + 6n + -6n + 2p = 3 + -3n + -6n + -7p Combine like terms: 6n + -6n = 0 -6m + 0 + 2p = 3 + -3n + -6n + -7p -6m + 2p = 3 + -3n + -6n + -7p Combine like terms: -3n + -6n = -9n -6m + 2p = 3 + -9n + -7p Add '-2p' to each side of the equation. -6m + 2p + -2p = 3 + -9n + -7p + -2p Combine like terms: 2p + -2p = 0 -6m + 0 = 3 + -9n + -7p + -2p -6m = 3 + -9n + -7p + -2p Combine like terms: -7p + -2p = -9p -6m = 3 + -9n + -9p Divide each side by '-6'. m = -0.5 + 1.5n + 1.5p Simplifying m = -0.5 + 1.5n + 1.5p
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