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Simplifying 5(p + -2.14) = 2(p + 3) Reorder the terms: 5(-2.14 + p) = 2(p + 3) (-2.14 * 5 + p * 5) = 2(p + 3) (-10.7 + 5p) = 2(p + 3) Reorder the terms: -10.7 + 5p = 2(3 + p) -10.7 + 5p = (3 * 2 + p * 2) -10.7 + 5p = (6 + 2p) Solving -10.7 + 5p = 6 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. -10.7 + 5p + -2p = 6 + 2p + -2p Combine like terms: 5p + -2p = 3p -10.7 + 3p = 6 + 2p + -2p Combine like terms: 2p + -2p = 0 -10.7 + 3p = 6 + 0 -10.7 + 3p = 6 Add '10.7' to each side of the equation. -10.7 + 10.7 + 3p = 6 + 10.7 Combine like terms: -10.7 + 10.7 = 0.0 0.0 + 3p = 6 + 10.7 3p = 6 + 10.7 Combine like terms: 6 + 10.7 = 16.7 3p = 16.7 Divide each side by '3'. p = 5.566666667 Simplifying p = 5.566666667
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