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Simplifying -1(p + 7) = 5(p + -3) Reorder the terms: -1(7 + p) = 5(p + -3) (7 * -1 + p * -1) = 5(p + -3) (-7 + -1p) = 5(p + -3) Reorder the terms: -7 + -1p = 5(-3 + p) -7 + -1p = (-3 * 5 + p * 5) -7 + -1p = (-15 + 5p) Solving -7 + -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. -7 + -1p + -5p = -15 + 5p + -5p Combine like terms: -1p + -5p = -6p -7 + -6p = -15 + 5p + -5p Combine like terms: 5p + -5p = 0 -7 + -6p = -15 + 0 -7 + -6p = -15 Add '7' to each side of the equation. -7 + 7 + -6p = -15 + 7 Combine like terms: -7 + 7 = 0 0 + -6p = -15 + 7 -6p = -15 + 7 Combine like terms: -15 + 7 = -8 -6p = -8 Divide each side by '-6'. p = 1.333333333 Simplifying p = 1.333333333
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