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Simplifying 8(6p + -2) = 7(5p + 7) Reorder the terms: 8(-2 + 6p) = 7(5p + 7) (-2 * 8 + 6p * 8) = 7(5p + 7) (-16 + 48p) = 7(5p + 7) Reorder the terms: -16 + 48p = 7(7 + 5p) -16 + 48p = (7 * 7 + 5p * 7) -16 + 48p = (49 + 35p) Solving -16 + 48p = 49 + 35p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-35p' to each side of the equation. -16 + 48p + -35p = 49 + 35p + -35p Combine like terms: 48p + -35p = 13p -16 + 13p = 49 + 35p + -35p Combine like terms: 35p + -35p = 0 -16 + 13p = 49 + 0 -16 + 13p = 49 Add '16' to each side of the equation. -16 + 16 + 13p = 49 + 16 Combine like terms: -16 + 16 = 0 0 + 13p = 49 + 16 13p = 49 + 16 Combine like terms: 49 + 16 = 65 13p = 65 Divide each side by '13'. p = 5 Simplifying p = 5
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