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Simplifying -5(3p + 4) + -35 = 2(4p + 7) Reorder the terms: -5(4 + 3p) + -35 = 2(4p + 7) (4 * -5 + 3p * -5) + -35 = 2(4p + 7) (-20 + -15p) + -35 = 2(4p + 7) Reorder the terms: -20 + -35 + -15p = 2(4p + 7) Combine like terms: -20 + -35 = -55 -55 + -15p = 2(4p + 7) Reorder the terms: -55 + -15p = 2(7 + 4p) -55 + -15p = (7 * 2 + 4p * 2) -55 + -15p = (14 + 8p) Solving -55 + -15p = 14 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -55 + -15p + -8p = 14 + 8p + -8p Combine like terms: -15p + -8p = -23p -55 + -23p = 14 + 8p + -8p Combine like terms: 8p + -8p = 0 -55 + -23p = 14 + 0 -55 + -23p = 14 Add '55' to each side of the equation. -55 + 55 + -23p = 14 + 55 Combine like terms: -55 + 55 = 0 0 + -23p = 14 + 55 -23p = 14 + 55 Combine like terms: 14 + 55 = 69 -23p = 69 Divide each side by '-23'. p = -3 Simplifying p = -3
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