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Simplifying 10 + -4(p + 7) = 2(1 + -9p) Reorder the terms: 10 + -4(7 + p) = 2(1 + -9p) 10 + (7 * -4 + p * -4) = 2(1 + -9p) 10 + (-28 + -4p) = 2(1 + -9p) Combine like terms: 10 + -28 = -18 -18 + -4p = 2(1 + -9p) -18 + -4p = (1 * 2 + -9p * 2) -18 + -4p = (2 + -18p) Solving -18 + -4p = 2 + -18p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '18p' to each side of the equation. -18 + -4p + 18p = 2 + -18p + 18p Combine like terms: -4p + 18p = 14p -18 + 14p = 2 + -18p + 18p Combine like terms: -18p + 18p = 0 -18 + 14p = 2 + 0 -18 + 14p = 2 Add '18' to each side of the equation. -18 + 18 + 14p = 2 + 18 Combine like terms: -18 + 18 = 0 0 + 14p = 2 + 18 14p = 2 + 18 Combine like terms: 2 + 18 = 20 14p = 20 Divide each side by '14'. p = 1.428571429 Simplifying p = 1.428571429
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