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Simplifying 25(22p + -25) = 21p + 6(p + -17) Reorder the terms: 25(-25 + 22p) = 21p + 6(p + -17) (-25 * 25 + 22p * 25) = 21p + 6(p + -17) (-625 + 550p) = 21p + 6(p + -17) Reorder the terms: -625 + 550p = 21p + 6(-17 + p) -625 + 550p = 21p + (-17 * 6 + p * 6) -625 + 550p = 21p + (-102 + 6p) Reorder the terms: -625 + 550p = -102 + 21p + 6p Combine like terms: 21p + 6p = 27p -625 + 550p = -102 + 27p Solving -625 + 550p = -102 + 27p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-27p' to each side of the equation. -625 + 550p + -27p = -102 + 27p + -27p Combine like terms: 550p + -27p = 523p -625 + 523p = -102 + 27p + -27p Combine like terms: 27p + -27p = 0 -625 + 523p = -102 + 0 -625 + 523p = -102 Add '625' to each side of the equation. -625 + 625 + 523p = -102 + 625 Combine like terms: -625 + 625 = 0 0 + 523p = -102 + 625 523p = -102 + 625 Combine like terms: -102 + 625 = 523 523p = 523 Divide each side by '523'. p = 1 Simplifying p = 1
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