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Simplifying -5(2p + 3) + -45 = 3(4p + 2) Reorder the terms: -5(3 + 2p) + -45 = 3(4p + 2) (3 * -5 + 2p * -5) + -45 = 3(4p + 2) (-15 + -10p) + -45 = 3(4p + 2) Reorder the terms: -15 + -45 + -10p = 3(4p + 2) Combine like terms: -15 + -45 = -60 -60 + -10p = 3(4p + 2) Reorder the terms: -60 + -10p = 3(2 + 4p) -60 + -10p = (2 * 3 + 4p * 3) -60 + -10p = (6 + 12p) Solving -60 + -10p = 6 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. -60 + -10p + -12p = 6 + 12p + -12p Combine like terms: -10p + -12p = -22p -60 + -22p = 6 + 12p + -12p Combine like terms: 12p + -12p = 0 -60 + -22p = 6 + 0 -60 + -22p = 6 Add '60' to each side of the equation. -60 + 60 + -22p = 6 + 60 Combine like terms: -60 + 60 = 0 0 + -22p = 6 + 60 -22p = 6 + 60 Combine like terms: 6 + 60 = 66 -22p = 66 Divide each side by '-22'. p = -3 Simplifying p = -3
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