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Simplifying 3p + -4 + -6 = 2(p + 5) Reorder the terms: -4 + -6 + 3p = 2(p + 5) Combine like terms: -4 + -6 = -10 -10 + 3p = 2(p + 5) Reorder the terms: -10 + 3p = 2(5 + p) -10 + 3p = (5 * 2 + p * 2) -10 + 3p = (10 + 2p) Solving -10 + 3p = 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. -10 + 3p + -2p = 10 + 2p + -2p Combine like terms: 3p + -2p = 1p -10 + 1p = 10 + 2p + -2p Combine like terms: 2p + -2p = 0 -10 + 1p = 10 + 0 -10 + 1p = 10 Add '10' to each side of the equation. -10 + 10 + 1p = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 1p = 10 + 10 1p = 10 + 10 Combine like terms: 10 + 10 = 20 1p = 20 Divide each side by '1'. p = 20 Simplifying p = 20
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