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Simplifying -12p + 3(p + 5) = 6 + -2p Reorder the terms: -12p + 3(5 + p) = 6 + -2p -12p + (5 * 3 + p * 3) = 6 + -2p -12p + (15 + 3p) = 6 + -2p Reorder the terms: 15 + -12p + 3p = 6 + -2p Combine like terms: -12p + 3p = -9p 15 + -9p = 6 + -2p Solving 15 + -9p = 6 + -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. 15 + -9p + 2p = 6 + -2p + 2p Combine like terms: -9p + 2p = -7p 15 + -7p = 6 + -2p + 2p Combine like terms: -2p + 2p = 0 15 + -7p = 6 + 0 15 + -7p = 6 Add '-15' to each side of the equation. 15 + -15 + -7p = 6 + -15 Combine like terms: 15 + -15 = 0 0 + -7p = 6 + -15 -7p = 6 + -15 Combine like terms: 6 + -15 = -9 -7p = -9 Divide each side by '-7'. p = 1.285714286 Simplifying p = 1.285714286
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