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Simplifying -5(2p + 2) + -38 = 3(4p + 6) Reorder the terms: -5(2 + 2p) + -38 = 3(4p + 6) (2 * -5 + 2p * -5) + -38 = 3(4p + 6) (-10 + -10p) + -38 = 3(4p + 6) Reorder the terms: -10 + -38 + -10p = 3(4p + 6) Combine like terms: -10 + -38 = -48 -48 + -10p = 3(4p + 6) Reorder the terms: -48 + -10p = 3(6 + 4p) -48 + -10p = (6 * 3 + 4p * 3) -48 + -10p = (18 + 12p) Solving -48 + -10p = 18 + 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. -48 + -10p + -12p = 18 + 12p + -12p Combine like terms: -10p + -12p = -22p -48 + -22p = 18 + 12p + -12p Combine like terms: 12p + -12p = 0 -48 + -22p = 18 + 0 -48 + -22p = 18 Add '48' to each side of the equation. -48 + 48 + -22p = 18 + 48 Combine like terms: -48 + 48 = 0 0 + -22p = 18 + 48 -22p = 18 + 48 Combine like terms: 18 + 48 = 66 -22p = 66 Divide each side by '-22'. p = -3 Simplifying p = -3
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