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Simplifying 10(p + -3) = 11(5 + -1p) Reorder the terms: 10(-3 + p) = 11(5 + -1p) (-3 * 10 + p * 10) = 11(5 + -1p) (-30 + 10p) = 11(5 + -1p) -30 + 10p = (5 * 11 + -1p * 11) -30 + 10p = (55 + -11p) Solving -30 + 10p = 55 + -11p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '11p' to each side of the equation. -30 + 10p + 11p = 55 + -11p + 11p Combine like terms: 10p + 11p = 21p -30 + 21p = 55 + -11p + 11p Combine like terms: -11p + 11p = 0 -30 + 21p = 55 + 0 -30 + 21p = 55 Add '30' to each side of the equation. -30 + 30 + 21p = 55 + 30 Combine like terms: -30 + 30 = 0 0 + 21p = 55 + 30 21p = 55 + 30 Combine like terms: 55 + 30 = 85 21p = 85 Divide each side by '21'. p = 4.047619048 Simplifying p = 4.047619048
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