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Simplifying -2(8p + 2) + -3(2 + -7p) = 2(4 + p) Reorder the terms: -2(2 + 8p) + -3(2 + -7p) = 2(4 + p) (2 * -2 + 8p * -2) + -3(2 + -7p) = 2(4 + p) (-4 + -16p) + -3(2 + -7p) = 2(4 + p) -4 + -16p + (2 * -3 + -7p * -3) = 2(4 + p) -4 + -16p + (-6 + 21p) = 2(4 + p) Reorder the terms: -4 + -6 + -16p + 21p = 2(4 + p) Combine like terms: -4 + -6 = -10 -10 + -16p + 21p = 2(4 + p) Combine like terms: -16p + 21p = 5p -10 + 5p = 2(4 + p) -10 + 5p = (4 * 2 + p * 2) -10 + 5p = (8 + 2p) Solving -10 + 5p = 8 + 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. -10 + 5p + -2p = 8 + 2p + -2p Combine like terms: 5p + -2p = 3p -10 + 3p = 8 + 2p + -2p Combine like terms: 2p + -2p = 0 -10 + 3p = 8 + 0 -10 + 3p = 8 Add '10' to each side of the equation. -10 + 10 + 3p = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 3p = 8 + 10 3p = 8 + 10 Combine like terms: 8 + 10 = 18 3p = 18 Divide each side by '3'. p = 6 Simplifying p = 6
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