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Simplifying -4(3p + 2) + -45 = 5(2p + 7) Reorder the terms: -4(2 + 3p) + -45 = 5(2p + 7) (2 * -4 + 3p * -4) + -45 = 5(2p + 7) (-8 + -12p) + -45 = 5(2p + 7) Reorder the terms: -8 + -45 + -12p = 5(2p + 7) Combine like terms: -8 + -45 = -53 -53 + -12p = 5(2p + 7) Reorder the terms: -53 + -12p = 5(7 + 2p) -53 + -12p = (7 * 5 + 2p * 5) -53 + -12p = (35 + 10p) Solving -53 + -12p = 35 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. -53 + -12p + -10p = 35 + 10p + -10p Combine like terms: -12p + -10p = -22p -53 + -22p = 35 + 10p + -10p Combine like terms: 10p + -10p = 0 -53 + -22p = 35 + 0 -53 + -22p = 35 Add '53' to each side of the equation. -53 + 53 + -22p = 35 + 53 Combine like terms: -53 + 53 = 0 0 + -22p = 35 + 53 -22p = 35 + 53 Combine like terms: 35 + 53 = 88 -22p = 88 Divide each side by '-22'. p = -4 Simplifying p = -4
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