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Simplifying 6p + -12 + -8p = 5p + -20 + -10 Reorder the terms: -12 + 6p + -8p = 5p + -20 + -10 Combine like terms: 6p + -8p = -2p -12 + -2p = 5p + -20 + -10 Reorder the terms: -12 + -2p = -20 + -10 + 5p Combine like terms: -20 + -10 = -30 -12 + -2p = -30 + 5p Solving -12 + -2p = -30 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -12 + -2p + -5p = -30 + 5p + -5p Combine like terms: -2p + -5p = -7p -12 + -7p = -30 + 5p + -5p Combine like terms: 5p + -5p = 0 -12 + -7p = -30 + 0 -12 + -7p = -30 Add '12' to each side of the equation. -12 + 12 + -7p = -30 + 12 Combine like terms: -12 + 12 = 0 0 + -7p = -30 + 12 -7p = -30 + 12 Combine like terms: -30 + 12 = -18 -7p = -18 Divide each side by '-7'. p = 2.571428571 Simplifying p = 2.571428571
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