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Simplifying -5 = -2(p + 3) + 3(p + 1) Reorder the terms: -5 = -2(3 + p) + 3(p + 1) -5 = (3 * -2 + p * -2) + 3(p + 1) -5 = (-6 + -2p) + 3(p + 1) Reorder the terms: -5 = -6 + -2p + 3(1 + p) -5 = -6 + -2p + (1 * 3 + p * 3) -5 = -6 + -2p + (3 + 3p) Reorder the terms: -5 = -6 + 3 + -2p + 3p Combine like terms: -6 + 3 = -3 -5 = -3 + -2p + 3p Combine like terms: -2p + 3p = 1p -5 = -3 + 1p Solving -5 = -3 + 1p 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. -5 + -1p = -3 + 1p + -1p Combine like terms: 1p + -1p = 0 -5 + -1p = -3 + 0 -5 + -1p = -3 Add '5' to each side of the equation. -5 + 5 + -1p = -3 + 5 Combine like terms: -5 + 5 = 0 0 + -1p = -3 + 5 -1p = -3 + 5 Combine like terms: -3 + 5 = 2 -1p = 2 Divide each side by '-1'. p = -2 Simplifying p = -2
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