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Simplifying -2p + 7 + 7 = 5(4p + 3) Reorder the terms: 7 + 7 + -2p = 5(4p + 3) Combine like terms: 7 + 7 = 14 14 + -2p = 5(4p + 3) Reorder the terms: 14 + -2p = 5(3 + 4p) 14 + -2p = (3 * 5 + 4p * 5) 14 + -2p = (15 + 20p) Solving 14 + -2p = 15 + 20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20p' to each side of the equation. 14 + -2p + -20p = 15 + 20p + -20p Combine like terms: -2p + -20p = -22p 14 + -22p = 15 + 20p + -20p Combine like terms: 20p + -20p = 0 14 + -22p = 15 + 0 14 + -22p = 15 Add '-14' to each side of the equation. 14 + -14 + -22p = 15 + -14 Combine like terms: 14 + -14 = 0 0 + -22p = 15 + -14 -22p = 15 + -14 Combine like terms: 15 + -14 = 1 -22p = 1 Divide each side by '-22'. p = -0.04545454545 Simplifying p = -0.04545454545
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