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Simplifying 8(3p + 5) + -23(p + -1) = 35 Reorder the terms: 8(5 + 3p) + -23(p + -1) = 35 (5 * 8 + 3p * 8) + -23(p + -1) = 35 (40 + 24p) + -23(p + -1) = 35 Reorder the terms: 40 + 24p + -23(-1 + p) = 35 40 + 24p + (-1 * -23 + p * -23) = 35 40 + 24p + (23 + -23p) = 35 Reorder the terms: 40 + 23 + 24p + -23p = 35 Combine like terms: 40 + 23 = 63 63 + 24p + -23p = 35 Combine like terms: 24p + -23p = 1p 63 + 1p = 35 Solving 63 + 1p = 35 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + 1p = 35 + -63 Combine like terms: 63 + -63 = 0 0 + 1p = 35 + -63 1p = 35 + -63 Combine like terms: 35 + -63 = -28 1p = -28 Divide each side by '1'. p = -28 Simplifying p = -28
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