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Simplifying 7(2p + 3) + -8 = 4p + -13 Reorder the terms: 7(3 + 2p) + -8 = 4p + -13 (3 * 7 + 2p * 7) + -8 = 4p + -13 (21 + 14p) + -8 = 4p + -13 Reorder the terms: 21 + -8 + 14p = 4p + -13 Combine like terms: 21 + -8 = 13 13 + 14p = 4p + -13 Reorder the terms: 13 + 14p = -13 + 4p Solving 13 + 14p = -13 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 13 + 14p + -4p = -13 + 4p + -4p Combine like terms: 14p + -4p = 10p 13 + 10p = -13 + 4p + -4p Combine like terms: 4p + -4p = 0 13 + 10p = -13 + 0 13 + 10p = -13 Add '-13' to each side of the equation. 13 + -13 + 10p = -13 + -13 Combine like terms: 13 + -13 = 0 0 + 10p = -13 + -13 10p = -13 + -13 Combine like terms: -13 + -13 = -26 10p = -26 Divide each side by '10'. p = -2.6 Simplifying p = -2.6
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