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Simplifying -5(3p + 4) + -35 = (4p + 7) Reorder the terms: -5(4 + 3p) + -35 = (4p + 7) (4 * -5 + 3p * -5) + -35 = (4p + 7) (-20 + -15p) + -35 = (4p + 7) Reorder the terms: -20 + -35 + -15p = (4p + 7) Combine like terms: -20 + -35 = -55 -55 + -15p = (4p + 7) Reorder the terms: -55 + -15p = (7 + 4p) Remove parenthesis around (7 + 4p) -55 + -15p = 7 + 4p Solving -55 + -15p = 7 + 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. -55 + -15p + -4p = 7 + 4p + -4p Combine like terms: -15p + -4p = -19p -55 + -19p = 7 + 4p + -4p Combine like terms: 4p + -4p = 0 -55 + -19p = 7 + 0 -55 + -19p = 7 Add '55' to each side of the equation. -55 + 55 + -19p = 7 + 55 Combine like terms: -55 + 55 = 0 0 + -19p = 7 + 55 -19p = 7 + 55 Combine like terms: 7 + 55 = 62 -19p = 62 Divide each side by '-19'. p = -3.263157895 Simplifying p = -3.263157895
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