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Simplifying 6p + 12 + 3 = 4p + 5 + -3p Reorder the terms: 12 + 3 + 6p = 4p + 5 + -3p Combine like terms: 12 + 3 = 15 15 + 6p = 4p + 5 + -3p Reorder the terms: 15 + 6p = 5 + 4p + -3p Combine like terms: 4p + -3p = 1p 15 + 6p = 5 + 1p Solving 15 + 6p = 5 + 1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 15 + 6p + -1p = 5 + 1p + -1p Combine like terms: 6p + -1p = 5p 15 + 5p = 5 + 1p + -1p Combine like terms: 1p + -1p = 0 15 + 5p = 5 + 0 15 + 5p = 5 Add '-15' to each side of the equation. 15 + -15 + 5p = 5 + -15 Combine like terms: 15 + -15 = 0 0 + 5p = 5 + -15 5p = 5 + -15 Combine like terms: 5 + -15 = -10 5p = -10 Divide each side by '5'. p = -2 Simplifying p = -2
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