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Simplifying 4(p + -1) + 5(p + -1) = 100 Reorder the terms: 4(-1 + p) + 5(p + -1) = 100 (-1 * 4 + p * 4) + 5(p + -1) = 100 (-4 + 4p) + 5(p + -1) = 100 Reorder the terms: -4 + 4p + 5(-1 + p) = 100 -4 + 4p + (-1 * 5 + p * 5) = 100 -4 + 4p + (-5 + 5p) = 100 Reorder the terms: -4 + -5 + 4p + 5p = 100 Combine like terms: -4 + -5 = -9 -9 + 4p + 5p = 100 Combine like terms: 4p + 5p = 9p -9 + 9p = 100 Solving -9 + 9p = 100 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 9p = 100 + 9 Combine like terms: -9 + 9 = 0 0 + 9p = 100 + 9 9p = 100 + 9 Combine like terms: 100 + 9 = 109 9p = 109 Divide each side by '9'. p = 12.11111111 Simplifying p = 12.11111111
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