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Simplifying 4(2p + -3) + 9(3p + -1) = 0 Reorder the terms: 4(-3 + 2p) + 9(3p + -1) = 0 (-3 * 4 + 2p * 4) + 9(3p + -1) = 0 (-12 + 8p) + 9(3p + -1) = 0 Reorder the terms: -12 + 8p + 9(-1 + 3p) = 0 -12 + 8p + (-1 * 9 + 3p * 9) = 0 -12 + 8p + (-9 + 27p) = 0 Reorder the terms: -12 + -9 + 8p + 27p = 0 Combine like terms: -12 + -9 = -21 -21 + 8p + 27p = 0 Combine like terms: 8p + 27p = 35p -21 + 35p = 0 Solving -21 + 35p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 35p = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 35p = 0 + 21 35p = 0 + 21 Combine like terms: 0 + 21 = 21 35p = 21 Divide each side by '35'. p = 0.6 Simplifying p = 0.6
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