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Simplifying 6p + (-3) = 2p + 12 6p + -3 = 2p + 12 Reorder the terms: -3 + 6p = 2p + 12 Reorder the terms: -3 + 6p = 12 + 2p Solving -3 + 6p = 12 + 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. -3 + 6p + -2p = 12 + 2p + -2p Combine like terms: 6p + -2p = 4p -3 + 4p = 12 + 2p + -2p Combine like terms: 2p + -2p = 0 -3 + 4p = 12 + 0 -3 + 4p = 12 Add '3' to each side of the equation. -3 + 3 + 4p = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 4p = 12 + 3 4p = 12 + 3 Combine like terms: 12 + 3 = 15 4p = 15 Divide each side by '4'. p = 3.75 Simplifying p = 3.75
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