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Simplifying -4(3p + 3) + -44 = 5(2p + 2) Reorder the terms: -4(3 + 3p) + -44 = 5(2p + 2) (3 * -4 + 3p * -4) + -44 = 5(2p + 2) (-12 + -12p) + -44 = 5(2p + 2) Reorder the terms: -12 + -44 + -12p = 5(2p + 2) Combine like terms: -12 + -44 = -56 -56 + -12p = 5(2p + 2) Reorder the terms: -56 + -12p = 5(2 + 2p) -56 + -12p = (2 * 5 + 2p * 5) -56 + -12p = (10 + 10p) Solving -56 + -12p = 10 + 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. -56 + -12p + -10p = 10 + 10p + -10p Combine like terms: -12p + -10p = -22p -56 + -22p = 10 + 10p + -10p Combine like terms: 10p + -10p = 0 -56 + -22p = 10 + 0 -56 + -22p = 10 Add '56' to each side of the equation. -56 + 56 + -22p = 10 + 56 Combine like terms: -56 + 56 = 0 0 + -22p = 10 + 56 -22p = 10 + 56 Combine like terms: 10 + 56 = 66 -22p = 66 Divide each side by '-22'. p = -3 Simplifying p = -3
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