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Simplifying -117 = 2(1 + -6p) + -5p -117 = (1 * 2 + -6p * 2) + -5p -117 = (2 + -12p) + -5p Combine like terms: -12p + -5p = -17p -117 = 2 + -17p Solving -117 = 2 + -17p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '17p' to each side of the equation. -117 + 17p = 2 + -17p + 17p Combine like terms: -17p + 17p = 0 -117 + 17p = 2 + 0 -117 + 17p = 2 Add '117' to each side of the equation. -117 + 117 + 17p = 2 + 117 Combine like terms: -117 + 117 = 0 0 + 17p = 2 + 117 17p = 2 + 117 Combine like terms: 2 + 117 = 119 17p = 119 Divide each side by '17'. p = 7 Simplifying p = 7
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