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Simplifying 3(p + 10) + -1(4p + -1) = p + -10 + p Reorder the terms: 3(10 + p) + -1(4p + -1) = p + -10 + p (10 * 3 + p * 3) + -1(4p + -1) = p + -10 + p (30 + 3p) + -1(4p + -1) = p + -10 + p Reorder the terms: 30 + 3p + -1(-1 + 4p) = p + -10 + p 30 + 3p + (-1 * -1 + 4p * -1) = p + -10 + p 30 + 3p + (1 + -4p) = p + -10 + p Reorder the terms: 30 + 1 + 3p + -4p = p + -10 + p Combine like terms: 30 + 1 = 31 31 + 3p + -4p = p + -10 + p Combine like terms: 3p + -4p = -1p 31 + -1p = p + -10 + p Reorder the terms: 31 + -1p = -10 + p + p Combine like terms: p + p = 2p 31 + -1p = -10 + 2p Solving 31 + -1p = -10 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 31 + -1p + -2p = -10 + 2p + -2p Combine like terms: -1p + -2p = -3p 31 + -3p = -10 + 2p + -2p Combine like terms: 2p + -2p = 0 31 + -3p = -10 + 0 31 + -3p = -10 Add '-31' to each side of the equation. 31 + -31 + -3p = -10 + -31 Combine like terms: 31 + -31 = 0 0 + -3p = -10 + -31 -3p = -10 + -31 Combine like terms: -10 + -31 = -41 -3p = -41 Divide each side by '-3'. p = 13.66666667 Simplifying p = 13.66666667
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