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Simplifying -1[2p + (-3p + 6)] + -1[-1(-5p + (3 + 10p)) + -6p] = 0 Reorder the terms: -1[2p + (6 + -3p)] + -1[-1(-5p + (3 + 10p)) + -6p] = 0 Remove parenthesis around (6 + -3p) -1[2p + 6 + -3p] + -1[-1(-5p + (3 + 10p)) + -6p] = 0 Reorder the terms: -1[6 + 2p + -3p] + -1[-1(-5p + (3 + 10p)) + -6p] = 0 Combine like terms: 2p + -3p = -1p -1[6 + -1p] + -1[-1(-5p + (3 + 10p)) + -6p] = 0 [6 * -1 + -1p * -1] + -1[-1(-5p + (3 + 10p)) + -6p] = 0 [-6 + 1p] + -1[-1(-5p + (3 + 10p)) + -6p] = 0 Remove parenthesis around (3 + 10p) -6 + 1p + -1[-1(-5p + 3 + 10p) + -6p] = 0 Reorder the terms: -6 + 1p + -1[-1(3 + -5p + 10p) + -6p] = 0 Combine like terms: -5p + 10p = 5p -6 + 1p + -1[-1(3 + 5p) + -6p] = 0 -6 + 1p + -1[(3 * -1 + 5p * -1) + -6p] = 0 -6 + 1p + -1[(-3 + -5p) + -6p] = 0 Combine like terms: -5p + -6p = -11p -6 + 1p + -1[-3 + -11p] = 0 -6 + 1p + [-3 * -1 + -11p * -1] = 0 -6 + 1p + [3 + 11p] = 0 Reorder the terms: -6 + 3 + 1p + 11p = 0 Combine like terms: -6 + 3 = -3 -3 + 1p + 11p = 0 Combine like terms: 1p + 11p = 12p -3 + 12p = 0 Solving -3 + 12p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 12p = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 12p = 0 + 3 12p = 0 + 3 Combine like terms: 0 + 3 = 3 12p = 3 Divide each side by '12'. p = 0.25 Simplifying p = 0.25
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