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Simplifying 3p + -1(5p + 12) = 7 + -1(7p + -9) Reorder the terms: 3p + -1(12 + 5p) = 7 + -1(7p + -9) 3p + (12 * -1 + 5p * -1) = 7 + -1(7p + -9) 3p + (-12 + -5p) = 7 + -1(7p + -9) Reorder the terms: -12 + 3p + -5p = 7 + -1(7p + -9) Combine like terms: 3p + -5p = -2p -12 + -2p = 7 + -1(7p + -9) Reorder the terms: -12 + -2p = 7 + -1(-9 + 7p) -12 + -2p = 7 + (-9 * -1 + 7p * -1) -12 + -2p = 7 + (9 + -7p) Combine like terms: 7 + 9 = 16 -12 + -2p = 16 + -7p Solving -12 + -2p = 16 + -7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7p' to each side of the equation. -12 + -2p + 7p = 16 + -7p + 7p Combine like terms: -2p + 7p = 5p -12 + 5p = 16 + -7p + 7p Combine like terms: -7p + 7p = 0 -12 + 5p = 16 + 0 -12 + 5p = 16 Add '12' to each side of the equation. -12 + 12 + 5p = 16 + 12 Combine like terms: -12 + 12 = 0 0 + 5p = 16 + 12 5p = 16 + 12 Combine like terms: 16 + 12 = 28 5p = 28 Divide each side by '5'. p = 5.6 Simplifying p = 5.6
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