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Simplifying -5(2p + 4) + -3 = 3(4p + 7) Reorder the terms: -5(4 + 2p) + -3 = 3(4p + 7) (4 * -5 + 2p * -5) + -3 = 3(4p + 7) (-20 + -10p) + -3 = 3(4p + 7) Reorder the terms: -20 + -3 + -10p = 3(4p + 7) Combine like terms: -20 + -3 = -23 -23 + -10p = 3(4p + 7) Reorder the terms: -23 + -10p = 3(7 + 4p) -23 + -10p = (7 * 3 + 4p * 3) -23 + -10p = (21 + 12p) Solving -23 + -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. -23 + -10p + -12p = 21 + 12p + -12p Combine like terms: -10p + -12p = -22p -23 + -22p = 21 + 12p + -12p Combine like terms: 12p + -12p = 0 -23 + -22p = 21 + 0 -23 + -22p = 21 Add '23' to each side of the equation. -23 + 23 + -22p = 21 + 23 Combine like terms: -23 + 23 = 0 0 + -22p = 21 + 23 -22p = 21 + 23 Combine like terms: 21 + 23 = 44 -22p = 44 Divide each side by '-22'. p = -2 Simplifying p = -2
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