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Simplifying 2 + (p + -4) = 5p + -1(10 + 2p) Reorder the terms: 2 + (-4 + p) = 5p + -1(10 + 2p) Remove parenthesis around (-4 + p) 2 + -4 + p = 5p + -1(10 + 2p) Combine like terms: 2 + -4 = -2 -2 + p = 5p + -1(10 + 2p) -2 + p = 5p + (10 * -1 + 2p * -1) -2 + p = 5p + (-10 + -2p) Reorder the terms: -2 + p = -10 + 5p + -2p Combine like terms: 5p + -2p = 3p -2 + p = -10 + 3p Solving -2 + p = -10 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -2 + p + -3p = -10 + 3p + -3p Combine like terms: p + -3p = -2p -2 + -2p = -10 + 3p + -3p Combine like terms: 3p + -3p = 0 -2 + -2p = -10 + 0 -2 + -2p = -10 Add '2' to each side of the equation. -2 + 2 + -2p = -10 + 2 Combine like terms: -2 + 2 = 0 0 + -2p = -10 + 2 -2p = -10 + 2 Combine like terms: -10 + 2 = -8 -2p = -8 Divide each side by '-2'. p = 4 Simplifying p = 4
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