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Simplifying 4(5b + -1) + -1(3b + -7) = 7 + -1(5b + 4) Reorder the terms: 4(-1 + 5b) + -1(3b + -7) = 7 + -1(5b + 4) (-1 * 4 + 5b * 4) + -1(3b + -7) = 7 + -1(5b + 4) (-4 + 20b) + -1(3b + -7) = 7 + -1(5b + 4) Reorder the terms: -4 + 20b + -1(-7 + 3b) = 7 + -1(5b + 4) -4 + 20b + (-7 * -1 + 3b * -1) = 7 + -1(5b + 4) -4 + 20b + (7 + -3b) = 7 + -1(5b + 4) Reorder the terms: -4 + 7 + 20b + -3b = 7 + -1(5b + 4) Combine like terms: -4 + 7 = 3 3 + 20b + -3b = 7 + -1(5b + 4) Combine like terms: 20b + -3b = 17b 3 + 17b = 7 + -1(5b + 4) Reorder the terms: 3 + 17b = 7 + -1(4 + 5b) 3 + 17b = 7 + (4 * -1 + 5b * -1) 3 + 17b = 7 + (-4 + -5b) Combine like terms: 7 + -4 = 3 3 + 17b = 3 + -5b Add '-3' to each side of the equation. 3 + -3 + 17b = 3 + -3 + -5b Combine like terms: 3 + -3 = 0 0 + 17b = 3 + -3 + -5b 17b = 3 + -3 + -5b Combine like terms: 3 + -3 = 0 17b = 0 + -5b 17b = -5b Solving 17b = -5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5b' to each side of the equation. 17b + 5b = -5b + 5b Combine like terms: 17b + 5b = 22b 22b = -5b + 5b Combine like terms: -5b + 5b = 0 22b = 0 Divide each side by '22'. b = 0 Simplifying b = 0
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