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Simplifying -2[(4p + 1) + (3p + -1)] = 5(3 + -1p) + -9 Reorder the terms: -2[(1 + 4p) + (3p + -1)] = 5(3 + -1p) + -9 Remove parenthesis around (1 + 4p) -2[1 + 4p + (3p + -1)] = 5(3 + -1p) + -9 Reorder the terms: -2[1 + 4p + (-1 + 3p)] = 5(3 + -1p) + -9 Remove parenthesis around (-1 + 3p) -2[1 + 4p + -1 + 3p] = 5(3 + -1p) + -9 Reorder the terms: -2[1 + -1 + 4p + 3p] = 5(3 + -1p) + -9 Combine like terms: 1 + -1 = 0 -2[0 + 4p + 3p] = 5(3 + -1p) + -9 -2[4p + 3p] = 5(3 + -1p) + -9 Combine like terms: 4p + 3p = 7p -2[7p] = 5(3 + -1p) + -9 Remove brackets around [7p] -2 * 7p = 5(3 + -1p) + -9 Multiply -2 * 7 -14p = 5(3 + -1p) + -9 -14p = (3 * 5 + -1p * 5) + -9 -14p = (15 + -5p) + -9 Reorder the terms: -14p = 15 + -9 + -5p Combine like terms: 15 + -9 = 6 -14p = 6 + -5p Solving -14p = 6 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. -14p + 5p = 6 + -5p + 5p Combine like terms: -14p + 5p = -9p -9p = 6 + -5p + 5p Combine like terms: -5p + 5p = 0 -9p = 6 + 0 -9p = 6 Divide each side by '-9'. p = -0.6666666667 Simplifying p = -0.6666666667
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