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Simplifying 4(p + -2) + -10 = 2(p + 3) Reorder the terms: 4(-2 + p) + -10 = 2(p + 3) (-2 * 4 + p * 4) + -10 = 2(p + 3) (-8 + 4p) + -10 = 2(p + 3) Reorder the terms: -8 + -10 + 4p = 2(p + 3) Combine like terms: -8 + -10 = -18 -18 + 4p = 2(p + 3) Reorder the terms: -18 + 4p = 2(3 + p) -18 + 4p = (3 * 2 + p * 2) -18 + 4p = (6 + 2p) Solving -18 + 4p = 6 + 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. -18 + 4p + -2p = 6 + 2p + -2p Combine like terms: 4p + -2p = 2p -18 + 2p = 6 + 2p + -2p Combine like terms: 2p + -2p = 0 -18 + 2p = 6 + 0 -18 + 2p = 6 Add '18' to each side of the equation. -18 + 18 + 2p = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 2p = 6 + 18 2p = 6 + 18 Combine like terms: 6 + 18 = 24 2p = 24 Divide each side by '2'. p = 12 Simplifying p = 12
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