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Simplifying 5(p + -7) + -2(3 + -1p + -4) = 3p Reorder the terms: 5(-7 + p) + -2(3 + -1p + -4) = 3p (-7 * 5 + p * 5) + -2(3 + -1p + -4) = 3p (-35 + 5p) + -2(3 + -1p + -4) = 3p Reorder the terms: -35 + 5p + -2(3 + -4 + -1p) = 3p Combine like terms: 3 + -4 = -1 -35 + 5p + -2(-1 + -1p) = 3p -35 + 5p + (-1 * -2 + -1p * -2) = 3p -35 + 5p + (2 + 2p) = 3p Reorder the terms: -35 + 2 + 5p + 2p = 3p Combine like terms: -35 + 2 = -33 -33 + 5p + 2p = 3p Combine like terms: 5p + 2p = 7p -33 + 7p = 3p Solving -33 + 7p = 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. -33 + 7p + -3p = 3p + -3p Combine like terms: 7p + -3p = 4p -33 + 4p = 3p + -3p Combine like terms: 3p + -3p = 0 -33 + 4p = 0 Add '33' to each side of the equation. -33 + 33 + 4p = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 4p = 0 + 33 4p = 0 + 33 Combine like terms: 0 + 33 = 33 4p = 33 Divide each side by '4'. p = 8.25 Simplifying p = 8.25
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