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Simplifying 12(3p + 7) = 14(4p + 8) Reorder the terms: 12(7 + 3p) = 14(4p + 8) (7 * 12 + 3p * 12) = 14(4p + 8) (84 + 36p) = 14(4p + 8) Reorder the terms: 84 + 36p = 14(8 + 4p) 84 + 36p = (8 * 14 + 4p * 14) 84 + 36p = (112 + 56p) Solving 84 + 36p = 112 + 56p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-56p' to each side of the equation. 84 + 36p + -56p = 112 + 56p + -56p Combine like terms: 36p + -56p = -20p 84 + -20p = 112 + 56p + -56p Combine like terms: 56p + -56p = 0 84 + -20p = 112 + 0 84 + -20p = 112 Add '-84' to each side of the equation. 84 + -84 + -20p = 112 + -84 Combine like terms: 84 + -84 = 0 0 + -20p = 112 + -84 -20p = 112 + -84 Combine like terms: 112 + -84 = 28 -20p = 28 Divide each side by '-20'. p = -1.4 Simplifying p = -1.4
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