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Simplifying -2[(4p + 1) + -1(3p + -1)] = 5(3p + -1p) + -9 Reorder the terms: -2[(1 + 4p) + -1(3p + -1)] = 5(3p + -1p) + -9 Remove parenthesis around (1 + 4p) -2[1 + 4p + -1(3p + -1)] = 5(3p + -1p) + -9 Reorder the terms: -2[1 + 4p + -1(-1 + 3p)] = 5(3p + -1p) + -9 -2[1 + 4p + (-1 * -1 + 3p * -1)] = 5(3p + -1p) + -9 -2[1 + 4p + (1 + -3p)] = 5(3p + -1p) + -9 Reorder the terms: -2[1 + 1 + 4p + -3p] = 5(3p + -1p) + -9 Combine like terms: 1 + 1 = 2 -2[2 + 4p + -3p] = 5(3p + -1p) + -9 Combine like terms: 4p + -3p = 1p -2[2 + 1p] = 5(3p + -1p) + -9 [2 * -2 + 1p * -2] = 5(3p + -1p) + -9 [-4 + -2p] = 5(3p + -1p) + -9 Combine like terms: 3p + -1p = 2p -4 + -2p = 5(2p) + -9 Remove parenthesis around (2p) -4 + -2p = 5 * 2p + -9 Multiply 5 * 2 -4 + -2p = 10p + -9 Reorder the terms: -4 + -2p = -9 + 10p Solving -4 + -2p = -9 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. -4 + -2p + -10p = -9 + 10p + -10p Combine like terms: -2p + -10p = -12p -4 + -12p = -9 + 10p + -10p Combine like terms: 10p + -10p = 0 -4 + -12p = -9 + 0 -4 + -12p = -9 Add '4' to each side of the equation. -4 + 4 + -12p = -9 + 4 Combine like terms: -4 + 4 = 0 0 + -12p = -9 + 4 -12p = -9 + 4 Combine like terms: -9 + 4 = -5 -12p = -5 Divide each side by '-12'. p = 0.4166666667 Simplifying p = 0.4166666667
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