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Simplifying 6 + -1(5p + 3) = 6[(5p + -3) + -1(p + -7)] Reorder the terms: 6 + -1(3 + 5p) = 6[(5p + -3) + -1(p + -7)] 6 + (3 * -1 + 5p * -1) = 6[(5p + -3) + -1(p + -7)] 6 + (-3 + -5p) = 6[(5p + -3) + -1(p + -7)] Combine like terms: 6 + -3 = 3 3 + -5p = 6[(5p + -3) + -1(p + -7)] Reorder the terms: 3 + -5p = 6[(-3 + 5p) + -1(p + -7)] Remove parenthesis around (-3 + 5p) 3 + -5p = 6[-3 + 5p + -1(p + -7)] Reorder the terms: 3 + -5p = 6[-3 + 5p + -1(-7 + p)] 3 + -5p = 6[-3 + 5p + (-7 * -1 + p * -1)] 3 + -5p = 6[-3 + 5p + (7 + -1p)] Reorder the terms: 3 + -5p = 6[-3 + 7 + 5p + -1p] Combine like terms: -3 + 7 = 4 3 + -5p = 6[4 + 5p + -1p] Combine like terms: 5p + -1p = 4p 3 + -5p = 6[4 + 4p] 3 + -5p = [4 * 6 + 4p * 6] 3 + -5p = [24 + 24p] Solving 3 + -5p = 24 + 24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24p' to each side of the equation. 3 + -5p + -24p = 24 + 24p + -24p Combine like terms: -5p + -24p = -29p 3 + -29p = 24 + 24p + -24p Combine like terms: 24p + -24p = 0 3 + -29p = 24 + 0 3 + -29p = 24 Add '-3' to each side of the equation. 3 + -3 + -29p = 24 + -3 Combine like terms: 3 + -3 = 0 0 + -29p = 24 + -3 -29p = 24 + -3 Combine like terms: 24 + -3 = 21 -29p = 21 Divide each side by '-29'. p = -0.724137931 Simplifying p = -0.724137931
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