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Simplifying -5b + 3(2 + -5b) = -6b + -6(6b + -1) -5b + (2 * 3 + -5b * 3) = -6b + -6(6b + -1) -5b + (6 + -15b) = -6b + -6(6b + -1) Reorder the terms: 6 + -5b + -15b = -6b + -6(6b + -1) Combine like terms: -5b + -15b = -20b 6 + -20b = -6b + -6(6b + -1) Reorder the terms: 6 + -20b = -6b + -6(-1 + 6b) 6 + -20b = -6b + (-1 * -6 + 6b * -6) 6 + -20b = -6b + (6 + -36b) Reorder the terms: 6 + -20b = 6 + -6b + -36b Combine like terms: -6b + -36b = -42b 6 + -20b = 6 + -42b Add '-6' to each side of the equation. 6 + -6 + -20b = 6 + -6 + -42b Combine like terms: 6 + -6 = 0 0 + -20b = 6 + -6 + -42b -20b = 6 + -6 + -42b Combine like terms: 6 + -6 = 0 -20b = 0 + -42b -20b = -42b Solving -20b = -42b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '42b' to each side of the equation. -20b + 42b = -42b + 42b Combine like terms: -20b + 42b = 22b 22b = -42b + 42b Combine like terms: -42b + 42b = 0 22b = 0 Divide each side by '22'. b = 0 Simplifying b = 0
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