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Simplifying 2(3p + -6) = 3p + -9 Reorder the terms: 2(-6 + 3p) = 3p + -9 (-6 * 2 + 3p * 2) = 3p + -9 (-12 + 6p) = 3p + -9 Reorder the terms: -12 + 6p = -9 + 3p Solving -12 + 6p = -9 + 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. -12 + 6p + -3p = -9 + 3p + -3p Combine like terms: 6p + -3p = 3p -12 + 3p = -9 + 3p + -3p Combine like terms: 3p + -3p = 0 -12 + 3p = -9 + 0 -12 + 3p = -9 Add '12' to each side of the equation. -12 + 12 + 3p = -9 + 12 Combine like terms: -12 + 12 = 0 0 + 3p = -9 + 12 3p = -9 + 12 Combine like terms: -9 + 12 = 3 3p = 3 Divide each side by '3'. p = 1 Simplifying p = 1
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