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Simplifying 2(3p + -6) + -3(5p + 8) = 0 Reorder the terms: 2(-6 + 3p) + -3(5p + 8) = 0 (-6 * 2 + 3p * 2) + -3(5p + 8) = 0 (-12 + 6p) + -3(5p + 8) = 0 Reorder the terms: -12 + 6p + -3(8 + 5p) = 0 -12 + 6p + (8 * -3 + 5p * -3) = 0 -12 + 6p + (-24 + -15p) = 0 Reorder the terms: -12 + -24 + 6p + -15p = 0 Combine like terms: -12 + -24 = -36 -36 + 6p + -15p = 0 Combine like terms: 6p + -15p = -9p -36 + -9p = 0 Solving -36 + -9p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -9p = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -9p = 0 + 36 -9p = 0 + 36 Combine like terms: 0 + 36 = 36 -9p = 36 Divide each side by '-9'. p = -4 Simplifying p = -4
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