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