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Simplifying -4[(3p + 3) + -1(6p + -1)] = 8(5 + -1p) + -2 Reorder the terms: -4[(3 + 3p) + -1(6p + -1)] = 8(5 + -1p) + -2 Remove parenthesis around (3 + 3p) -4[3 + 3p + -1(6p + -1)] = 8(5 + -1p) + -2 Reorder the terms: -4[3 + 3p + -1(-1 + 6p)] = 8(5 + -1p) + -2 -4[3 + 3p + (-1 * -1 + 6p * -1)] = 8(5 + -1p) + -2 -4[3 + 3p + (1 + -6p)] = 8(5 + -1p) + -2 Reorder the terms: -4[3 + 1 + 3p + -6p] = 8(5 + -1p) + -2 Combine like terms: 3 + 1 = 4 -4[4 + 3p + -6p] = 8(5 + -1p) + -2 Combine like terms: 3p + -6p = -3p -4[4 + -3p] = 8(5 + -1p) + -2 [4 * -4 + -3p * -4] = 8(5 + -1p) + -2 [-16 + 12p] = 8(5 + -1p) + -2 -16 + 12p = (5 * 8 + -1p * 8) + -2 -16 + 12p = (40 + -8p) + -2 Reorder the terms: -16 + 12p = 40 + -2 + -8p Combine like terms: 40 + -2 = 38 -16 + 12p = 38 + -8p Solving -16 + 12p = 38 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. -16 + 12p + 8p = 38 + -8p + 8p Combine like terms: 12p + 8p = 20p -16 + 20p = 38 + -8p + 8p Combine like terms: -8p + 8p = 0 -16 + 20p = 38 + 0 -16 + 20p = 38 Add '16' to each side of the equation. -16 + 16 + 20p = 38 + 16 Combine like terms: -16 + 16 = 0 0 + 20p = 38 + 16 20p = 38 + 16 Combine like terms: 38 + 16 = 54 20p = 54 Divide each side by '20'. p = 2.7 Simplifying p = 2.7
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