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Simplifying 30 + -5p = -5(-8 + -1p) 30 + -5p = (-8 * -5 + -1p * -5) 30 + -5p = (40 + 5p) Solving 30 + -5p = 40 + 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. 30 + -5p + -5p = 40 + 5p + -5p Combine like terms: -5p + -5p = -10p 30 + -10p = 40 + 5p + -5p Combine like terms: 5p + -5p = 0 30 + -10p = 40 + 0 30 + -10p = 40 Add '-30' to each side of the equation. 30 + -30 + -10p = 40 + -30 Combine like terms: 30 + -30 = 0 0 + -10p = 40 + -30 -10p = 40 + -30 Combine like terms: 40 + -30 = 10 -10p = 10 Divide each side by '-10'. p = -1 Simplifying p = -1
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