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Simplifying 9(2p + -4) + -2(7p + -12) = 0 Reorder the terms: 9(-4 + 2p) + -2(7p + -12) = 0 (-4 * 9 + 2p * 9) + -2(7p + -12) = 0 (-36 + 18p) + -2(7p + -12) = 0 Reorder the terms: -36 + 18p + -2(-12 + 7p) = 0 -36 + 18p + (-12 * -2 + 7p * -2) = 0 -36 + 18p + (24 + -14p) = 0 Reorder the terms: -36 + 24 + 18p + -14p = 0 Combine like terms: -36 + 24 = -12 -12 + 18p + -14p = 0 Combine like terms: 18p + -14p = 4p -12 + 4p = 0 Solving -12 + 4p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 4p = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 4p = 0 + 12 4p = 0 + 12 Combine like terms: 0 + 12 = 12 4p = 12 Divide each side by '4'. p = 3 Simplifying p = 3
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