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Simplifying 11 + -2(p + 5) = p + -5 Reorder the terms: 11 + -2(5 + p) = p + -5 11 + (5 * -2 + p * -2) = p + -5 11 + (-10 + -2p) = p + -5 Combine like terms: 11 + -10 = 1 1 + -2p = p + -5 Reorder the terms: 1 + -2p = -5 + p Solving 1 + -2p = -5 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 1 + -2p + -1p = -5 + p + -1p Combine like terms: -2p + -1p = -3p 1 + -3p = -5 + p + -1p Combine like terms: p + -1p = 0 1 + -3p = -5 + 0 1 + -3p = -5 Add '-1' to each side of the equation. 1 + -1 + -3p = -5 + -1 Combine like terms: 1 + -1 = 0 0 + -3p = -5 + -1 -3p = -5 + -1 Combine like terms: -5 + -1 = -6 -3p = -6 Divide each side by '-3'. p = 2 Simplifying p = 2
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