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Simplifying 90 = (6p + 3) + (3p + 6) Reorder the terms: 90 = (3 + 6p) + (3p + 6) Remove parenthesis around (3 + 6p) 90 = 3 + 6p + (3p + 6) Reorder the terms: 90 = 3 + 6p + (6 + 3p) Remove parenthesis around (6 + 3p) 90 = 3 + 6p + 6 + 3p Reorder the terms: 90 = 3 + 6 + 6p + 3p Combine like terms: 3 + 6 = 9 90 = 9 + 6p + 3p Combine like terms: 6p + 3p = 9p 90 = 9 + 9p Solving 90 = 9 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. 90 + -9p = 9 + 9p + -9p Combine like terms: 9p + -9p = 0 90 + -9p = 9 + 0 90 + -9p = 9 Add '-90' to each side of the equation. 90 + -90 + -9p = 9 + -90 Combine like terms: 90 + -90 = 0 0 + -9p = 9 + -90 -9p = 9 + -90 Combine like terms: 9 + -90 = -81 -9p = -81 Divide each side by '-9'. p = 9 Simplifying p = 9
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