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Simplifying 3 + -1(7p + 4) + -2(3 + -14p) = 3(5 + 2p) Reorder the terms: 3 + -1(4 + 7p) + -2(3 + -14p) = 3(5 + 2p) 3 + (4 * -1 + 7p * -1) + -2(3 + -14p) = 3(5 + 2p) 3 + (-4 + -7p) + -2(3 + -14p) = 3(5 + 2p) 3 + -4 + -7p + (3 * -2 + -14p * -2) = 3(5 + 2p) 3 + -4 + -7p + (-6 + 28p) = 3(5 + 2p) Reorder the terms: 3 + -4 + -6 + -7p + 28p = 3(5 + 2p) Combine like terms: 3 + -4 = -1 -1 + -6 + -7p + 28p = 3(5 + 2p) Combine like terms: -1 + -6 = -7 -7 + -7p + 28p = 3(5 + 2p) Combine like terms: -7p + 28p = 21p -7 + 21p = 3(5 + 2p) -7 + 21p = (5 * 3 + 2p * 3) -7 + 21p = (15 + 6p) Solving -7 + 21p = 15 + 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. -7 + 21p + -6p = 15 + 6p + -6p Combine like terms: 21p + -6p = 15p -7 + 15p = 15 + 6p + -6p Combine like terms: 6p + -6p = 0 -7 + 15p = 15 + 0 -7 + 15p = 15 Add '7' to each side of the equation. -7 + 7 + 15p = 15 + 7 Combine like terms: -7 + 7 = 0 0 + 15p = 15 + 7 15p = 15 + 7 Combine like terms: 15 + 7 = 22 15p = 22 Divide each side by '15'. p = 1.466666667 Simplifying p = 1.466666667
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