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Simplifying 3(2p + -5) + 2(3p + -3) = 0 Reorder the terms: 3(-5 + 2p) + 2(3p + -3) = 0 (-5 * 3 + 2p * 3) + 2(3p + -3) = 0 (-15 + 6p) + 2(3p + -3) = 0 Reorder the terms: -15 + 6p + 2(-3 + 3p) = 0 -15 + 6p + (-3 * 2 + 3p * 2) = 0 -15 + 6p + (-6 + 6p) = 0 Reorder the terms: -15 + -6 + 6p + 6p = 0 Combine like terms: -15 + -6 = -21 -21 + 6p + 6p = 0 Combine like terms: 6p + 6p = 12p -21 + 12p = 0 Solving -21 + 12p = 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 + 12p = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 12p = 0 + 21 12p = 0 + 21 Combine like terms: 0 + 21 = 21 12p = 21 Divide each side by '12'. p = 1.75 Simplifying p = 1.75
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