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Simplifying 2x + 9p + -90 = 3x + -11p + 61 Reorder the terms: -90 + 9p + 2x = 3x + -11p + 61 Reorder the terms: -90 + 9p + 2x = 61 + -11p + 3x Solving -90 + 9p + 2x = 61 + -11p + 3x 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. -90 + 9p + 11p + 2x = 61 + -11p + 11p + 3x Combine like terms: 9p + 11p = 20p -90 + 20p + 2x = 61 + -11p + 11p + 3x Combine like terms: -11p + 11p = 0 -90 + 20p + 2x = 61 + 0 + 3x -90 + 20p + 2x = 61 + 3x Add '90' to each side of the equation. -90 + 20p + 90 + 2x = 61 + 90 + 3x Reorder the terms: -90 + 90 + 20p + 2x = 61 + 90 + 3x Combine like terms: -90 + 90 = 0 0 + 20p + 2x = 61 + 90 + 3x 20p + 2x = 61 + 90 + 3x Combine like terms: 61 + 90 = 151 20p + 2x = 151 + 3x Add '-2x' to each side of the equation. 20p + 2x + -2x = 151 + 3x + -2x Combine like terms: 2x + -2x = 0 20p + 0 = 151 + 3x + -2x 20p = 151 + 3x + -2x Combine like terms: 3x + -2x = 1x 20p = 151 + 1x Divide each side by '20'. p = 7.55 + 0.05x Simplifying p = 7.55 + 0.05x
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