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Simplifying 6p + 3p + -10 = 5p + -2 Reorder the terms: -10 + 6p + 3p = 5p + -2 Combine like terms: 6p + 3p = 9p -10 + 9p = 5p + -2 Reorder the terms: -10 + 9p = -2 + 5p Solving -10 + 9p = -2 + 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. -10 + 9p + -5p = -2 + 5p + -5p Combine like terms: 9p + -5p = 4p -10 + 4p = -2 + 5p + -5p Combine like terms: 5p + -5p = 0 -10 + 4p = -2 + 0 -10 + 4p = -2 Add '10' to each side of the equation. -10 + 10 + 4p = -2 + 10 Combine like terms: -10 + 10 = 0 0 + 4p = -2 + 10 4p = -2 + 10 Combine like terms: -2 + 10 = 8 4p = 8 Divide each side by '4'. p = 2 Simplifying p = 2
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