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Simplifying 5 = 3(2p + 1) + 4(p + -2) Reorder the terms: 5 = 3(1 + 2p) + 4(p + -2) 5 = (1 * 3 + 2p * 3) + 4(p + -2) 5 = (3 + 6p) + 4(p + -2) Reorder the terms: 5 = 3 + 6p + 4(-2 + p) 5 = 3 + 6p + (-2 * 4 + p * 4) 5 = 3 + 6p + (-8 + 4p) Reorder the terms: 5 = 3 + -8 + 6p + 4p Combine like terms: 3 + -8 = -5 5 = -5 + 6p + 4p Combine like terms: 6p + 4p = 10p 5 = -5 + 10p Solving 5 = -5 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. 5 + -10p = -5 + 10p + -10p Combine like terms: 10p + -10p = 0 5 + -10p = -5 + 0 5 + -10p = -5 Add '-5' to each side of the equation. 5 + -5 + -10p = -5 + -5 Combine like terms: 5 + -5 = 0 0 + -10p = -5 + -5 -10p = -5 + -5 Combine like terms: -5 + -5 = -10 -10p = -10 Divide each side by '-10'. p = 1 Simplifying p = 1
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