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Simplifying 6p + 5[3(2 + -3p) + -2(5 + -4p)] = 0 6p + 5[(2 * 3 + -3p * 3) + -2(5 + -4p)] = 0 6p + 5[(6 + -9p) + -2(5 + -4p)] = 0 6p + 5[6 + -9p + (5 * -2 + -4p * -2)] = 0 6p + 5[6 + -9p + (-10 + 8p)] = 0 Reorder the terms: 6p + 5[6 + -10 + -9p + 8p] = 0 Combine like terms: 6 + -10 = -4 6p + 5[-4 + -9p + 8p] = 0 Combine like terms: -9p + 8p = -1p 6p + 5[-4 + -1p] = 0 6p + [-4 * 5 + -1p * 5] = 0 6p + [-20 + -5p] = 0 Reorder the terms: -20 + 6p + -5p = 0 Combine like terms: 6p + -5p = 1p -20 + 1p = 0 Solving -20 + 1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 1p = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 1p = 0 + 20 1p = 0 + 20 Combine like terms: 0 + 20 = 20 1p = 20 Divide each side by '1'. p = 20 Simplifying p = 20
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