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Simplifying -1(2p + 2) = -1(7 + -10p) + -7p Reorder the terms: -1(2 + 2p) = -1(7 + -10p) + -7p (2 * -1 + 2p * -1) = -1(7 + -10p) + -7p (-2 + -2p) = -1(7 + -10p) + -7p -2 + -2p = (7 * -1 + -10p * -1) + -7p -2 + -2p = (-7 + 10p) + -7p Combine like terms: 10p + -7p = 3p -2 + -2p = -7 + 3p Solving -2 + -2p = -7 + 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 + -2p + -3p = -7 + 3p + -3p Combine like terms: -2p + -3p = -5p -2 + -5p = -7 + 3p + -3p Combine like terms: 3p + -3p = 0 -2 + -5p = -7 + 0 -2 + -5p = -7 Add '2' to each side of the equation. -2 + 2 + -5p = -7 + 2 Combine like terms: -2 + 2 = 0 0 + -5p = -7 + 2 -5p = -7 + 2 Combine like terms: -7 + 2 = -5 -5p = -5 Divide each side by '-5'. p = 1 Simplifying p = 1
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