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Simplifying 3(10 + -1p) * 2 = 2p + 5 Reorder the terms for easier multiplication: 3 * 2(10 + -1p) = 2p + 5 Multiply 3 * 2 6(10 + -1p) = 2p + 5 (10 * 6 + -1p * 6) = 2p + 5 (60 + -6p) = 2p + 5 Reorder the terms: 60 + -6p = 5 + 2p Solving 60 + -6p = 5 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 60 + -6p + -2p = 5 + 2p + -2p Combine like terms: -6p + -2p = -8p 60 + -8p = 5 + 2p + -2p Combine like terms: 2p + -2p = 0 60 + -8p = 5 + 0 60 + -8p = 5 Add '-60' to each side of the equation. 60 + -60 + -8p = 5 + -60 Combine like terms: 60 + -60 = 0 0 + -8p = 5 + -60 -8p = 5 + -60 Combine like terms: 5 + -60 = -55 -8p = -55 Divide each side by '-8'. p = 6.875 Simplifying p = 6.875
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