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Simplifying -7 + -8(10 + 7p) = -8 + -10(p + 8) -7 + (10 * -8 + 7p * -8) = -8 + -10(p + 8) -7 + (-80 + -56p) = -8 + -10(p + 8) Combine like terms: -7 + -80 = -87 -87 + -56p = -8 + -10(p + 8) Reorder the terms: -87 + -56p = -8 + -10(8 + p) -87 + -56p = -8 + (8 * -10 + p * -10) -87 + -56p = -8 + (-80 + -10p) Combine like terms: -8 + -80 = -88 -87 + -56p = -88 + -10p Solving -87 + -56p = -88 + -10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10p' to each side of the equation. -87 + -56p + 10p = -88 + -10p + 10p Combine like terms: -56p + 10p = -46p -87 + -46p = -88 + -10p + 10p Combine like terms: -10p + 10p = 0 -87 + -46p = -88 + 0 -87 + -46p = -88 Add '87' to each side of the equation. -87 + 87 + -46p = -88 + 87 Combine like terms: -87 + 87 = 0 0 + -46p = -88 + 87 -46p = -88 + 87 Combine like terms: -88 + 87 = -1 -46p = -1 Divide each side by '-46'. p = 0.02173913043 Simplifying p = 0.02173913043
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