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Simplifying 7(p + -2) + -2(7 + -3p) + 2 = 0 Reorder the terms: 7(-2 + p) + -2(7 + -3p) + 2 = 0 (-2 * 7 + p * 7) + -2(7 + -3p) + 2 = 0 (-14 + 7p) + -2(7 + -3p) + 2 = 0 -14 + 7p + (7 * -2 + -3p * -2) + 2 = 0 -14 + 7p + (-14 + 6p) + 2 = 0 Reorder the terms: -14 + -14 + 2 + 7p + 6p = 0 Combine like terms: -14 + -14 = -28 -28 + 2 + 7p + 6p = 0 Combine like terms: -28 + 2 = -26 -26 + 7p + 6p = 0 Combine like terms: 7p + 6p = 13p -26 + 13p = 0 Solving -26 + 13p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 13p = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 13p = 0 + 26 13p = 0 + 26 Combine like terms: 0 + 26 = 26 13p = 26 Divide each side by '13'. p = 2 Simplifying p = 2
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