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Simplifying 5(p + -7) + -1(3p + -4) = 3p Reorder the terms: 5(-7 + p) + -1(3p + -4) = 3p (-7 * 5 + p * 5) + -1(3p + -4) = 3p (-35 + 5p) + -1(3p + -4) = 3p Reorder the terms: -35 + 5p + -1(-4 + 3p) = 3p -35 + 5p + (-4 * -1 + 3p * -1) = 3p -35 + 5p + (4 + -3p) = 3p Reorder the terms: -35 + 4 + 5p + -3p = 3p Combine like terms: -35 + 4 = -31 -31 + 5p + -3p = 3p Combine like terms: 5p + -3p = 2p -31 + 2p = 3p Solving -31 + 2p = 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. -31 + 2p + -3p = 3p + -3p Combine like terms: 2p + -3p = -1p -31 + -1p = 3p + -3p Combine like terms: 3p + -3p = 0 -31 + -1p = 0 Add '31' to each side of the equation. -31 + 31 + -1p = 0 + 31 Combine like terms: -31 + 31 = 0 0 + -1p = 0 + 31 -1p = 0 + 31 Combine like terms: 0 + 31 = 31 -1p = 31 Divide each side by '-1'. p = -31 Simplifying p = -31
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