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Simplifying -42 + 5b = -2(6 + -5b) + -8b -42 + 5b = (6 * -2 + -5b * -2) + -8b -42 + 5b = (-12 + 10b) + -8b Combine like terms: 10b + -8b = 2b -42 + 5b = -12 + 2b Solving -42 + 5b = -12 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -42 + 5b + -2b = -12 + 2b + -2b Combine like terms: 5b + -2b = 3b -42 + 3b = -12 + 2b + -2b Combine like terms: 2b + -2b = 0 -42 + 3b = -12 + 0 -42 + 3b = -12 Add '42' to each side of the equation. -42 + 42 + 3b = -12 + 42 Combine like terms: -42 + 42 = 0 0 + 3b = -12 + 42 3b = -12 + 42 Combine like terms: -12 + 42 = 30 3b = 30 Divide each side by '3'. b = 10 Simplifying b = 10
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