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Simplifying -6p + 3 + 5p + 1 = 15 + -35p + -7 + -35p Reorder the terms: 3 + 1 + -6p + 5p = 15 + -35p + -7 + -35p Combine like terms: 3 + 1 = 4 4 + -6p + 5p = 15 + -35p + -7 + -35p Combine like terms: -6p + 5p = -1p 4 + -1p = 15 + -35p + -7 + -35p Reorder the terms: 4 + -1p = 15 + -7 + -35p + -35p Combine like terms: 15 + -7 = 8 4 + -1p = 8 + -35p + -35p Combine like terms: -35p + -35p = -70p 4 + -1p = 8 + -70p Solving 4 + -1p = 8 + -70p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '70p' to each side of the equation. 4 + -1p + 70p = 8 + -70p + 70p Combine like terms: -1p + 70p = 69p 4 + 69p = 8 + -70p + 70p Combine like terms: -70p + 70p = 0 4 + 69p = 8 + 0 4 + 69p = 8 Add '-4' to each side of the equation. 4 + -4 + 69p = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 69p = 8 + -4 69p = 8 + -4 Combine like terms: 8 + -4 = 4 69p = 4 Divide each side by '69'. p = 0.05797101449 Simplifying p = 0.05797101449
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