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Simplifying 5mp + -2n + -9p + -6 = 8n + 2p + 7 Reorder the terms: -6 + 5mp + -2n + -9p = 8n + 2p + 7 Reorder the terms: -6 + 5mp + -2n + -9p = 7 + 8n + 2p Solving -6 + 5mp + -2n + -9p = 7 + 8n + 2p Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 5mp + -2n + 6 + -9p = 7 + 8n + 6 + 2p Reorder the terms: -6 + 6 + 5mp + -2n + -9p = 7 + 8n + 6 + 2p Combine like terms: -6 + 6 = 0 0 + 5mp + -2n + -9p = 7 + 8n + 6 + 2p 5mp + -2n + -9p = 7 + 8n + 6 + 2p Reorder the terms: 5mp + -2n + -9p = 7 + 6 + 8n + 2p Combine like terms: 7 + 6 = 13 5mp + -2n + -9p = 13 + 8n + 2p Add '2n' to each side of the equation. 5mp + -2n + 2n + -9p = 13 + 8n + 2n + 2p Combine like terms: -2n + 2n = 0 5mp + 0 + -9p = 13 + 8n + 2n + 2p 5mp + -9p = 13 + 8n + 2n + 2p Combine like terms: 8n + 2n = 10n 5mp + -9p = 13 + 10n + 2p Add '9p' to each side of the equation. 5mp + -9p + 9p = 13 + 10n + 2p + 9p Combine like terms: -9p + 9p = 0 5mp + 0 = 13 + 10n + 2p + 9p 5mp = 13 + 10n + 2p + 9p Combine like terms: 2p + 9p = 11p 5mp = 13 + 10n + 11p Divide each side by '5p'. m = 2.6p-1 + 2np-1 + 2.2 Simplifying m = 2.6p-1 + 2np-1 + 2.2 Reorder the terms: m = 2.2 + 2np-1 + 2.6p-1
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