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Simplifying 4p + -2(3p + 5) = -6p + 2(p + 2) Reorder the terms: 4p + -2(5 + 3p) = -6p + 2(p + 2) 4p + (5 * -2 + 3p * -2) = -6p + 2(p + 2) 4p + (-10 + -6p) = -6p + 2(p + 2) Reorder the terms: -10 + 4p + -6p = -6p + 2(p + 2) Combine like terms: 4p + -6p = -2p -10 + -2p = -6p + 2(p + 2) Reorder the terms: -10 + -2p = -6p + 2(2 + p) -10 + -2p = -6p + (2 * 2 + p * 2) -10 + -2p = -6p + (4 + 2p) Reorder the terms: -10 + -2p = 4 + -6p + 2p Combine like terms: -6p + 2p = -4p -10 + -2p = 4 + -4p Solving -10 + -2p = 4 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. -10 + -2p + 4p = 4 + -4p + 4p Combine like terms: -2p + 4p = 2p -10 + 2p = 4 + -4p + 4p Combine like terms: -4p + 4p = 0 -10 + 2p = 4 + 0 -10 + 2p = 4 Add '10' to each side of the equation. -10 + 10 + 2p = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 2p = 4 + 10 2p = 4 + 10 Combine like terms: 4 + 10 = 14 2p = 14 Divide each side by '2'. p = 7 Simplifying p = 7
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