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Simplifying -5p + -2p = 7(4p + 4) + 6(3 + -2p) Combine like terms: -5p + -2p = -7p -7p = 7(4p + 4) + 6(3 + -2p) Reorder the terms: -7p = 7(4 + 4p) + 6(3 + -2p) -7p = (4 * 7 + 4p * 7) + 6(3 + -2p) -7p = (28 + 28p) + 6(3 + -2p) -7p = 28 + 28p + (3 * 6 + -2p * 6) -7p = 28 + 28p + (18 + -12p) Reorder the terms: -7p = 28 + 18 + 28p + -12p Combine like terms: 28 + 18 = 46 -7p = 46 + 28p + -12p Combine like terms: 28p + -12p = 16p -7p = 46 + 16p Solving -7p = 46 + 16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16p' to each side of the equation. -7p + -16p = 46 + 16p + -16p Combine like terms: -7p + -16p = -23p -23p = 46 + 16p + -16p Combine like terms: 16p + -16p = 0 -23p = 46 + 0 -23p = 46 Divide each side by '-23'. p = -2 Simplifying p = -2
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