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Simplifying 3(p + -5) + 2(3p + -3) = 0 Reorder the terms: 3(-5 + p) + 2(3p + -3) = 0 (-5 * 3 + p * 3) + 2(3p + -3) = 0 (-15 + 3p) + 2(3p + -3) = 0 Reorder the terms: -15 + 3p + 2(-3 + 3p) = 0 -15 + 3p + (-3 * 2 + 3p * 2) = 0 -15 + 3p + (-6 + 6p) = 0 Reorder the terms: -15 + -6 + 3p + 6p = 0 Combine like terms: -15 + -6 = -21 -21 + 3p + 6p = 0 Combine like terms: 3p + 6p = 9p -21 + 9p = 0 Solving -21 + 9p = 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 + 9p = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 9p = 0 + 21 9p = 0 + 21 Combine like terms: 0 + 21 = 21 9p = 21 Divide each side by '9'. p = 2.333333333 Simplifying p = 2.333333333
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