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Simplifying [8p + -6] = [7p + 21] Reorder the terms: [-6 + 8p] = [7p + 21] Remove brackets around [-6 + 8p] -6 + 8p = [7p + 21] Reorder the terms: -6 + 8p = [21 + 7p] Remove brackets around [21 + 7p] -6 + 8p = 21 + 7p Solving -6 + 8p = 21 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. -6 + 8p + -7p = 21 + 7p + -7p Combine like terms: 8p + -7p = 1p -6 + 1p = 21 + 7p + -7p Combine like terms: 7p + -7p = 0 -6 + 1p = 21 + 0 -6 + 1p = 21 Add '6' to each side of the equation. -6 + 6 + 1p = 21 + 6 Combine like terms: -6 + 6 = 0 0 + 1p = 21 + 6 1p = 21 + 6 Combine like terms: 21 + 6 = 27 1p = 27 Divide each side by '1'. p = 27 Simplifying p = 27
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