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Simplifying 5(2p + 4) + -7 = 5(2p + 2) + -4p Reorder the terms: 5(4 + 2p) + -7 = 5(2p + 2) + -4p (4 * 5 + 2p * 5) + -7 = 5(2p + 2) + -4p (20 + 10p) + -7 = 5(2p + 2) + -4p Reorder the terms: 20 + -7 + 10p = 5(2p + 2) + -4p Combine like terms: 20 + -7 = 13 13 + 10p = 5(2p + 2) + -4p Reorder the terms: 13 + 10p = 5(2 + 2p) + -4p 13 + 10p = (2 * 5 + 2p * 5) + -4p 13 + 10p = (10 + 10p) + -4p Combine like terms: 10p + -4p = 6p 13 + 10p = 10 + 6p Solving 13 + 10p = 10 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 13 + 10p + -6p = 10 + 6p + -6p Combine like terms: 10p + -6p = 4p 13 + 4p = 10 + 6p + -6p Combine like terms: 6p + -6p = 0 13 + 4p = 10 + 0 13 + 4p = 10 Add '-13' to each side of the equation. 13 + -13 + 4p = 10 + -13 Combine like terms: 13 + -13 = 0 0 + 4p = 10 + -13 4p = 10 + -13 Combine like terms: 10 + -13 = -3 4p = -3 Divide each side by '4'. p = -0.75 Simplifying p = -0.75
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