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Simplifying 8p + -22 = 3(3p + 11) + -6p Reorder the terms: -22 + 8p = 3(3p + 11) + -6p Reorder the terms: -22 + 8p = 3(11 + 3p) + -6p -22 + 8p = (11 * 3 + 3p * 3) + -6p -22 + 8p = (33 + 9p) + -6p Combine like terms: 9p + -6p = 3p -22 + 8p = 33 + 3p Solving -22 + 8p = 33 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -22 + 8p + -3p = 33 + 3p + -3p Combine like terms: 8p + -3p = 5p -22 + 5p = 33 + 3p + -3p Combine like terms: 3p + -3p = 0 -22 + 5p = 33 + 0 -22 + 5p = 33 Add '22' to each side of the equation. -22 + 22 + 5p = 33 + 22 Combine like terms: -22 + 22 = 0 0 + 5p = 33 + 22 5p = 33 + 22 Combine like terms: 33 + 22 = 55 5p = 55 Divide each side by '5'. p = 11 Simplifying p = 11
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