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Simplifying -5(2p + 2) + -35 = 3(4p + 7) Reorder the terms: -5(2 + 2p) + -35 = 3(4p + 7) (2 * -5 + 2p * -5) + -35 = 3(4p + 7) (-10 + -10p) + -35 = 3(4p + 7) Reorder the terms: -10 + -35 + -10p = 3(4p + 7) Combine like terms: -10 + -35 = -45 -45 + -10p = 3(4p + 7) Reorder the terms: -45 + -10p = 3(7 + 4p) -45 + -10p = (7 * 3 + 4p * 3) -45 + -10p = (21 + 12p) Solving -45 + -10p = 21 + 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. -45 + -10p + -12p = 21 + 12p + -12p Combine like terms: -10p + -12p = -22p -45 + -22p = 21 + 12p + -12p Combine like terms: 12p + -12p = 0 -45 + -22p = 21 + 0 -45 + -22p = 21 Add '45' to each side of the equation. -45 + 45 + -22p = 21 + 45 Combine like terms: -45 + 45 = 0 0 + -22p = 21 + 45 -22p = 21 + 45 Combine like terms: 21 + 45 = 66 -22p = 66 Divide each side by '-22'. p = -3 Simplifying p = -3
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