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Simplifying 6 + -4(3p + -2) = 2(p + 5) Reorder the terms: 6 + -4(-2 + 3p) = 2(p + 5) 6 + (-2 * -4 + 3p * -4) = 2(p + 5) 6 + (8 + -12p) = 2(p + 5) Combine like terms: 6 + 8 = 14 14 + -12p = 2(p + 5) Reorder the terms: 14 + -12p = 2(5 + p) 14 + -12p = (5 * 2 + p * 2) 14 + -12p = (10 + 2p) Solving 14 + -12p = 10 + 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. 14 + -12p + -2p = 10 + 2p + -2p Combine like terms: -12p + -2p = -14p 14 + -14p = 10 + 2p + -2p Combine like terms: 2p + -2p = 0 14 + -14p = 10 + 0 14 + -14p = 10 Add '-14' to each side of the equation. 14 + -14 + -14p = 10 + -14 Combine like terms: 14 + -14 = 0 0 + -14p = 10 + -14 -14p = 10 + -14 Combine like terms: 10 + -14 = -4 -14p = -4 Divide each side by '-14'. p = 0.2857142857 Simplifying p = 0.2857142857
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