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Simplifying 5(p + -7) + -2(3p + -4) = 4p Reorder the terms: 5(-7 + p) + -2(3p + -4) = 4p (-7 * 5 + p * 5) + -2(3p + -4) = 4p (-35 + 5p) + -2(3p + -4) = 4p Reorder the terms: -35 + 5p + -2(-4 + 3p) = 4p -35 + 5p + (-4 * -2 + 3p * -2) = 4p -35 + 5p + (8 + -6p) = 4p Reorder the terms: -35 + 8 + 5p + -6p = 4p Combine like terms: -35 + 8 = -27 -27 + 5p + -6p = 4p Combine like terms: 5p + -6p = -1p -27 + -1p = 4p Solving -27 + -1p = 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -27 + -1p + -4p = 4p + -4p Combine like terms: -1p + -4p = -5p -27 + -5p = 4p + -4p Combine like terms: 4p + -4p = 0 -27 + -5p = 0 Add '27' to each side of the equation. -27 + 27 + -5p = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -5p = 0 + 27 -5p = 0 + 27 Combine like terms: 0 + 27 = 27 -5p = 27 Divide each side by '-5'. p = -5.4 Simplifying p = -5.4
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