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Simplifying 6(1 + 3m) = -8 + -2(p + 12) (1 * 6 + 3m * 6) = -8 + -2(p + 12) (6 + 18m) = -8 + -2(p + 12) Reorder the terms: 6 + 18m = -8 + -2(12 + p) 6 + 18m = -8 + (12 * -2 + p * -2) 6 + 18m = -8 + (-24 + -2p) Combine like terms: -8 + -24 = -32 6 + 18m = -32 + -2p Solving 6 + 18m = -32 + -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 + -6 + 18m = -32 + -6 + -2p Combine like terms: 6 + -6 = 0 0 + 18m = -32 + -6 + -2p 18m = -32 + -6 + -2p Combine like terms: -32 + -6 = -38 18m = -38 + -2p Divide each side by '18'. m = -2.111111111 + -0.1111111111p Simplifying m = -2.111111111 + -0.1111111111p
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