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Simplifying 2(3p + -2) = 3p + 5 Reorder the terms: 2(-2 + 3p) = 3p + 5 (-2 * 2 + 3p * 2) = 3p + 5 (-4 + 6p) = 3p + 5 Reorder the terms: -4 + 6p = 5 + 3p Solving -4 + 6p = 5 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -4 + 6p + -3p = 5 + 3p + -3p Combine like terms: 6p + -3p = 3p -4 + 3p = 5 + 3p + -3p Combine like terms: 3p + -3p = 0 -4 + 3p = 5 + 0 -4 + 3p = 5 Add '4' to each side of the equation. -4 + 4 + 3p = 5 + 4 Combine like terms: -4 + 4 = 0 0 + 3p = 5 + 4 3p = 5 + 4 Combine like terms: 5 + 4 = 9 3p = 9 Divide each side by '3'. p = 3 Simplifying p = 3
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