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Simplifying 3(2p + -1) + 10 = -1(3p + 4) + 7p Reorder the terms: 3(-1 + 2p) + 10 = -1(3p + 4) + 7p (-1 * 3 + 2p * 3) + 10 = -1(3p + 4) + 7p (-3 + 6p) + 10 = -1(3p + 4) + 7p Reorder the terms: -3 + 10 + 6p = -1(3p + 4) + 7p Combine like terms: -3 + 10 = 7 7 + 6p = -1(3p + 4) + 7p Reorder the terms: 7 + 6p = -1(4 + 3p) + 7p 7 + 6p = (4 * -1 + 3p * -1) + 7p 7 + 6p = (-4 + -3p) + 7p Combine like terms: -3p + 7p = 4p 7 + 6p = -4 + 4p Solving 7 + 6p = -4 + 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. 7 + 6p + -4p = -4 + 4p + -4p Combine like terms: 6p + -4p = 2p 7 + 2p = -4 + 4p + -4p Combine like terms: 4p + -4p = 0 7 + 2p = -4 + 0 7 + 2p = -4 Add '-7' to each side of the equation. 7 + -7 + 2p = -4 + -7 Combine like terms: 7 + -7 = 0 0 + 2p = -4 + -7 2p = -4 + -7 Combine like terms: -4 + -7 = -11 2p = -11 Divide each side by '2'. p = -5.5 Simplifying p = -5.5
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