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Simplifying -5(3p + 3) + 9(-7 + p) = 0 Reorder the terms: -5(3 + 3p) + 9(-7 + p) = 0 (3 * -5 + 3p * -5) + 9(-7 + p) = 0 (-15 + -15p) + 9(-7 + p) = 0 -15 + -15p + (-7 * 9 + p * 9) = 0 -15 + -15p + (-63 + 9p) = 0 Reorder the terms: -15 + -63 + -15p + 9p = 0 Combine like terms: -15 + -63 = -78 -78 + -15p + 9p = 0 Combine like terms: -15p + 9p = -6p -78 + -6p = 0 Solving -78 + -6p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '78' to each side of the equation. -78 + 78 + -6p = 0 + 78 Combine like terms: -78 + 78 = 0 0 + -6p = 0 + 78 -6p = 0 + 78 Combine like terms: 0 + 78 = 78 -6p = 78 Divide each side by '-6'. p = -13 Simplifying p = -13
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