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Simplifying 9(2p + -5) + -3(7p + 3) = 0 Reorder the terms: 9(-5 + 2p) + -3(7p + 3) = 0 (-5 * 9 + 2p * 9) + -3(7p + 3) = 0 (-45 + 18p) + -3(7p + 3) = 0 Reorder the terms: -45 + 18p + -3(3 + 7p) = 0 -45 + 18p + (3 * -3 + 7p * -3) = 0 -45 + 18p + (-9 + -21p) = 0 Reorder the terms: -45 + -9 + 18p + -21p = 0 Combine like terms: -45 + -9 = -54 -54 + 18p + -21p = 0 Combine like terms: 18p + -21p = -3p -54 + -3p = 0 Solving -54 + -3p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + -3p = 0 + 54 Combine like terms: -54 + 54 = 0 0 + -3p = 0 + 54 -3p = 0 + 54 Combine like terms: 0 + 54 = 54 -3p = 54 Divide each side by '-3'. p = -18 Simplifying p = -18
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