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Simplifying -7(5p + 3) + -45 = 4(2p + 5) Reorder the terms: -7(3 + 5p) + -45 = 4(2p + 5) (3 * -7 + 5p * -7) + -45 = 4(2p + 5) (-21 + -35p) + -45 = 4(2p + 5) Reorder the terms: -21 + -45 + -35p = 4(2p + 5) Combine like terms: -21 + -45 = -66 -66 + -35p = 4(2p + 5) Reorder the terms: -66 + -35p = 4(5 + 2p) -66 + -35p = (5 * 4 + 2p * 4) -66 + -35p = (20 + 8p) Solving -66 + -35p = 20 + 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. -66 + -35p + -8p = 20 + 8p + -8p Combine like terms: -35p + -8p = -43p -66 + -43p = 20 + 8p + -8p Combine like terms: 8p + -8p = 0 -66 + -43p = 20 + 0 -66 + -43p = 20 Add '66' to each side of the equation. -66 + 66 + -43p = 20 + 66 Combine like terms: -66 + 66 = 0 0 + -43p = 20 + 66 -43p = 20 + 66 Combine like terms: 20 + 66 = 86 -43p = 86 Divide each side by '-43'. p = -2 Simplifying p = -2
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