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Simplifying 3p + -2(5p + 10) = 7(p + -2) + 9 Reorder the terms: 3p + -2(10 + 5p) = 7(p + -2) + 9 3p + (10 * -2 + 5p * -2) = 7(p + -2) + 9 3p + (-20 + -10p) = 7(p + -2) + 9 Reorder the terms: -20 + 3p + -10p = 7(p + -2) + 9 Combine like terms: 3p + -10p = -7p -20 + -7p = 7(p + -2) + 9 Reorder the terms: -20 + -7p = 7(-2 + p) + 9 -20 + -7p = (-2 * 7 + p * 7) + 9 -20 + -7p = (-14 + 7p) + 9 Reorder the terms: -20 + -7p = -14 + 9 + 7p Combine like terms: -14 + 9 = -5 -20 + -7p = -5 + 7p Solving -20 + -7p = -5 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. -20 + -7p + -7p = -5 + 7p + -7p Combine like terms: -7p + -7p = -14p -20 + -14p = -5 + 7p + -7p Combine like terms: 7p + -7p = 0 -20 + -14p = -5 + 0 -20 + -14p = -5 Add '20' to each side of the equation. -20 + 20 + -14p = -5 + 20 Combine like terms: -20 + 20 = 0 0 + -14p = -5 + 20 -14p = -5 + 20 Combine like terms: -5 + 20 = 15 -14p = 15 Divide each side by '-14'. p = -1.071428571 Simplifying p = -1.071428571
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