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Simplifying P + p + 6(p + 3) = 118 + -2p Reorder the terms: P + p + 6(3 + p) = 118 + -2p P + p + (3 * 6 + p * 6) = 118 + -2p P + p + (18 + 6p) = 118 + -2p Reorder the terms: 18 + P + p + 6p = 118 + -2p Combine like terms: p + 6p = 7p 18 + P + 7p = 118 + -2p Solving 18 + P + 7p = 118 + -2p Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + P + -18 + 7p = 118 + -18 + -2p Reorder the terms: 18 + -18 + P + 7p = 118 + -18 + -2p Combine like terms: 18 + -18 = 0 0 + P + 7p = 118 + -18 + -2p P + 7p = 118 + -18 + -2p Combine like terms: 118 + -18 = 100 P + 7p = 100 + -2p Add '-7p' to each side of the equation. P + 7p + -7p = 100 + -2p + -7p Combine like terms: 7p + -7p = 0 P + 0 = 100 + -2p + -7p P = 100 + -2p + -7p Combine like terms: -2p + -7p = -9p P = 100 + -9p Simplifying P = 100 + -9p
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