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Simplifying 1 + -1(p + 17) = 5(p + -3) Reorder the terms: 1 + -1(17 + p) = 5(p + -3) 1 + (17 * -1 + p * -1) = 5(p + -3) 1 + (-17 + -1p) = 5(p + -3) Combine like terms: 1 + -17 = -16 -16 + -1p = 5(p + -3) Reorder the terms: -16 + -1p = 5(-3 + p) -16 + -1p = (-3 * 5 + p * 5) -16 + -1p = (-15 + 5p) Solving -16 + -1p = -15 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -16 + -1p + -5p = -15 + 5p + -5p Combine like terms: -1p + -5p = -6p -16 + -6p = -15 + 5p + -5p Combine like terms: 5p + -5p = 0 -16 + -6p = -15 + 0 -16 + -6p = -15 Add '16' to each side of the equation. -16 + 16 + -6p = -15 + 16 Combine like terms: -16 + 16 = 0 0 + -6p = -15 + 16 -6p = -15 + 16 Combine like terms: -15 + 16 = 1 -6p = 1 Divide each side by '-6'. p = -0.1666666667 Simplifying p = -0.1666666667
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