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Simplifying 3(5p + -6) + 4(20 + -3p) = 0 Reorder the terms: 3(-6 + 5p) + 4(20 + -3p) = 0 (-6 * 3 + 5p * 3) + 4(20 + -3p) = 0 (-18 + 15p) + 4(20 + -3p) = 0 -18 + 15p + (20 * 4 + -3p * 4) = 0 -18 + 15p + (80 + -12p) = 0 Reorder the terms: -18 + 80 + 15p + -12p = 0 Combine like terms: -18 + 80 = 62 62 + 15p + -12p = 0 Combine like terms: 15p + -12p = 3p 62 + 3p = 0 Solving 62 + 3p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-62' to each side of the equation. 62 + -62 + 3p = 0 + -62 Combine like terms: 62 + -62 = 0 0 + 3p = 0 + -62 3p = 0 + -62 Combine like terms: 0 + -62 = -62 3p = -62 Divide each side by '3'. p = -20.66666667 Simplifying p = -20.66666667
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