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Simplifying -5(2p + 2) + -32 = 3(4p + 8) Reorder the terms: -5(2 + 2p) + -32 = 3(4p + 8) (2 * -5 + 2p * -5) + -32 = 3(4p + 8) (-10 + -10p) + -32 = 3(4p + 8) Reorder the terms: -10 + -32 + -10p = 3(4p + 8) Combine like terms: -10 + -32 = -42 -42 + -10p = 3(4p + 8) Reorder the terms: -42 + -10p = 3(8 + 4p) -42 + -10p = (8 * 3 + 4p * 3) -42 + -10p = (24 + 12p) Solving -42 + -10p = 24 + 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. -42 + -10p + -12p = 24 + 12p + -12p Combine like terms: -10p + -12p = -22p -42 + -22p = 24 + 12p + -12p Combine like terms: 12p + -12p = 0 -42 + -22p = 24 + 0 -42 + -22p = 24 Add '42' to each side of the equation. -42 + 42 + -22p = 24 + 42 Combine like terms: -42 + 42 = 0 0 + -22p = 24 + 42 -22p = 24 + 42 Combine like terms: 24 + 42 = 66 -22p = 66 Divide each side by '-22'. p = -3 Simplifying p = -3
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