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Simplifying -5(4p + 9) + 2(p + -7) = 0 Reorder the terms: -5(9 + 4p) + 2(p + -7) = 0 (9 * -5 + 4p * -5) + 2(p + -7) = 0 (-45 + -20p) + 2(p + -7) = 0 Reorder the terms: -45 + -20p + 2(-7 + p) = 0 -45 + -20p + (-7 * 2 + p * 2) = 0 -45 + -20p + (-14 + 2p) = 0 Reorder the terms: -45 + -14 + -20p + 2p = 0 Combine like terms: -45 + -14 = -59 -59 + -20p + 2p = 0 Combine like terms: -20p + 2p = -18p -59 + -18p = 0 Solving -59 + -18p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '59' to each side of the equation. -59 + 59 + -18p = 0 + 59 Combine like terms: -59 + 59 = 0 0 + -18p = 0 + 59 -18p = 0 + 59 Combine like terms: 0 + 59 = 59 -18p = 59 Divide each side by '-18'. p = -3.277777778 Simplifying p = -3.277777778
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