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Simplifying -1(-2p + 7) + 4(1 + 3p) = 0 Reorder the terms: -1(7 + -2p) + 4(1 + 3p) = 0 (7 * -1 + -2p * -1) + 4(1 + 3p) = 0 (-7 + 2p) + 4(1 + 3p) = 0 -7 + 2p + (1 * 4 + 3p * 4) = 0 -7 + 2p + (4 + 12p) = 0 Reorder the terms: -7 + 4 + 2p + 12p = 0 Combine like terms: -7 + 4 = -3 -3 + 2p + 12p = 0 Combine like terms: 2p + 12p = 14p -3 + 14p = 0 Solving -3 + 14p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 14p = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 14p = 0 + 3 14p = 0 + 3 Combine like terms: 0 + 3 = 3 14p = 3 Divide each side by '14'. p = 0.2142857143 Simplifying p = 0.2142857143
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