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Simplifying 5 + -1(5p + 7) = 5[(4p + -7) + -1(p + -3)] Reorder the terms: 5 + -1(7 + 5p) = 5[(4p + -7) + -1(p + -3)] 5 + (7 * -1 + 5p * -1) = 5[(4p + -7) + -1(p + -3)] 5 + (-7 + -5p) = 5[(4p + -7) + -1(p + -3)] Combine like terms: 5 + -7 = -2 -2 + -5p = 5[(4p + -7) + -1(p + -3)] Reorder the terms: -2 + -5p = 5[(-7 + 4p) + -1(p + -3)] Remove parenthesis around (-7 + 4p) -2 + -5p = 5[-7 + 4p + -1(p + -3)] Reorder the terms: -2 + -5p = 5[-7 + 4p + -1(-3 + p)] -2 + -5p = 5[-7 + 4p + (-3 * -1 + p * -1)] -2 + -5p = 5[-7 + 4p + (3 + -1p)] Reorder the terms: -2 + -5p = 5[-7 + 3 + 4p + -1p] Combine like terms: -7 + 3 = -4 -2 + -5p = 5[-4 + 4p + -1p] Combine like terms: 4p + -1p = 3p -2 + -5p = 5[-4 + 3p] -2 + -5p = [-4 * 5 + 3p * 5] -2 + -5p = [-20 + 15p] Solving -2 + -5p = -20 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. -2 + -5p + -15p = -20 + 15p + -15p Combine like terms: -5p + -15p = -20p -2 + -20p = -20 + 15p + -15p Combine like terms: 15p + -15p = 0 -2 + -20p = -20 + 0 -2 + -20p = -20 Add '2' to each side of the equation. -2 + 2 + -20p = -20 + 2 Combine like terms: -2 + 2 = 0 0 + -20p = -20 + 2 -20p = -20 + 2 Combine like terms: -20 + 2 = -18 -20p = -18 Divide each side by '-20'. p = 0.9 Simplifying p = 0.9
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