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Simplifying 3(p + -2) = 3(2p + -4) + 9 Reorder the terms: 3(-2 + p) = 3(2p + -4) + 9 (-2 * 3 + p * 3) = 3(2p + -4) + 9 (-6 + 3p) = 3(2p + -4) + 9 Reorder the terms: -6 + 3p = 3(-4 + 2p) + 9 -6 + 3p = (-4 * 3 + 2p * 3) + 9 -6 + 3p = (-12 + 6p) + 9 Reorder the terms: -6 + 3p = -12 + 9 + 6p Combine like terms: -12 + 9 = -3 -6 + 3p = -3 + 6p Solving -6 + 3p = -3 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -6 + 3p + -6p = -3 + 6p + -6p Combine like terms: 3p + -6p = -3p -6 + -3p = -3 + 6p + -6p Combine like terms: 6p + -6p = 0 -6 + -3p = -3 + 0 -6 + -3p = -3 Add '6' to each side of the equation. -6 + 6 + -3p = -3 + 6 Combine like terms: -6 + 6 = 0 0 + -3p = -3 + 6 -3p = -3 + 6 Combine like terms: -3 + 6 = 3 -3p = 3 Divide each side by '-3'. p = -1 Simplifying p = -1
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