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Simplifying 5(p + -2) + 2 = 2p + 4(2p + 3) Reorder the terms: 5(-2 + p) + 2 = 2p + 4(2p + 3) (-2 * 5 + p * 5) + 2 = 2p + 4(2p + 3) (-10 + 5p) + 2 = 2p + 4(2p + 3) Reorder the terms: -10 + 2 + 5p = 2p + 4(2p + 3) Combine like terms: -10 + 2 = -8 -8 + 5p = 2p + 4(2p + 3) Reorder the terms: -8 + 5p = 2p + 4(3 + 2p) -8 + 5p = 2p + (3 * 4 + 2p * 4) -8 + 5p = 2p + (12 + 8p) Reorder the terms: -8 + 5p = 12 + 2p + 8p Combine like terms: 2p + 8p = 10p -8 + 5p = 12 + 10p Solving -8 + 5p = 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 + 5p + -10p = 12 + 10p + -10p Combine like terms: 5p + -10p = -5p -8 + -5p = 12 + 10p + -10p Combine like terms: 10p + -10p = 0 -8 + -5p = 12 + 0 -8 + -5p = 12 Add '8' to each side of the equation. -8 + 8 + -5p = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -5p = 12 + 8 -5p = 12 + 8 Combine like terms: 12 + 8 = 20 -5p = 20 Divide each side by '-5'. p = -4 Simplifying p = -4
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