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Simplifying 5p + -2 = 7(-1p + -2) + (-2 + 10p) Reorder the terms: -2 + 5p = 7(-1p + -2) + (-2 + 10p) Reorder the terms: -2 + 5p = 7(-2 + -1p) + (-2 + 10p) -2 + 5p = (-2 * 7 + -1p * 7) + (-2 + 10p) -2 + 5p = (-14 + -7p) + (-2 + 10p) Remove parenthesis around (-2 + 10p) -2 + 5p = -14 + -7p + -2 + 10p Reorder the terms: -2 + 5p = -14 + -2 + -7p + 10p Combine like terms: -14 + -2 = -16 -2 + 5p = -16 + -7p + 10p Combine like terms: -7p + 10p = 3p -2 + 5p = -16 + 3p Solving -2 + 5p = -16 + 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 + 5p + -3p = -16 + 3p + -3p Combine like terms: 5p + -3p = 2p -2 + 2p = -16 + 3p + -3p Combine like terms: 3p + -3p = 0 -2 + 2p = -16 + 0 -2 + 2p = -16 Add '2' to each side of the equation. -2 + 2 + 2p = -16 + 2 Combine like terms: -2 + 2 = 0 0 + 2p = -16 + 2 2p = -16 + 2 Combine like terms: -16 + 2 = -14 2p = -14 Divide each side by '2'. p = -7 Simplifying p = -7
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