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