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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 = 1 1 + 4p + 5p = 100 Combine like terms: 4p + 5p = 9p 1 + 9p = 100 Solving 1 + 9p = 100 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 9p = 100 + -1 Combine like terms: 1 + -1 = 0 0 + 9p = 100 + -1 9p = 100 + -1 Combine like terms: 100 + -1 = 99 9p = 99 Divide each side by '9'. p = 11 Simplifying p = 11
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