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Simplifying -2(p + 7) + -2p = 2(p + -3) + -5p Reorder the terms: -2(7 + p) + -2p = 2(p + -3) + -5p (7 * -2 + p * -2) + -2p = 2(p + -3) + -5p (-14 + -2p) + -2p = 2(p + -3) + -5p Combine like terms: -2p + -2p = -4p -14 + -4p = 2(p + -3) + -5p Reorder the terms: -14 + -4p = 2(-3 + p) + -5p -14 + -4p = (-3 * 2 + p * 2) + -5p -14 + -4p = (-6 + 2p) + -5p Combine like terms: 2p + -5p = -3p -14 + -4p = -6 + -3p Solving -14 + -4p = -6 + -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. -14 + -4p + 3p = -6 + -3p + 3p Combine like terms: -4p + 3p = -1p -14 + -1p = -6 + -3p + 3p Combine like terms: -3p + 3p = 0 -14 + -1p = -6 + 0 -14 + -1p = -6 Add '14' to each side of the equation. -14 + 14 + -1p = -6 + 14 Combine like terms: -14 + 14 = 0 0 + -1p = -6 + 14 -1p = -6 + 14 Combine like terms: -6 + 14 = 8 -1p = 8 Divide each side by '-1'. p = -8 Simplifying p = -8
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