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Simplifying 6(2p + 2) + -20 = 2(5p + 6) Reorder the terms: 6(2 + 2p) + -20 = 2(5p + 6) (2 * 6 + 2p * 6) + -20 = 2(5p + 6) (12 + 12p) + -20 = 2(5p + 6) Reorder the terms: 12 + -20 + 12p = 2(5p + 6) Combine like terms: 12 + -20 = -8 -8 + 12p = 2(5p + 6) Reorder the terms: -8 + 12p = 2(6 + 5p) -8 + 12p = (6 * 2 + 5p * 2) -8 + 12p = (12 + 10p) Solving -8 + 12p = 12 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. -8 + 12p + -10p = 12 + 10p + -10p Combine like terms: 12p + -10p = 2p -8 + 2p = 12 + 10p + -10p Combine like terms: 10p + -10p = 0 -8 + 2p = 12 + 0 -8 + 2p = 12 Add '8' to each side of the equation. -8 + 8 + 2p = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 2p = 12 + 8 2p = 12 + 8 Combine like terms: 12 + 8 = 20 2p = 20 Divide each side by '2'. p = 10 Simplifying p = 10
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