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Simplifying -42 + -5b = -6(5b + -2) + -2b Reorder the terms: -42 + -5b = -6(-2 + 5b) + -2b -42 + -5b = (-2 * -6 + 5b * -6) + -2b -42 + -5b = (12 + -30b) + -2b Combine like terms: -30b + -2b = -32b -42 + -5b = 12 + -32b Solving -42 + -5b = 12 + -32b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '32b' to each side of the equation. -42 + -5b + 32b = 12 + -32b + 32b Combine like terms: -5b + 32b = 27b -42 + 27b = 12 + -32b + 32b Combine like terms: -32b + 32b = 0 -42 + 27b = 12 + 0 -42 + 27b = 12 Add '42' to each side of the equation. -42 + 42 + 27b = 12 + 42 Combine like terms: -42 + 42 = 0 0 + 27b = 12 + 42 27b = 12 + 42 Combine like terms: 12 + 42 = 54 27b = 54 Divide each side by '27'. b = 2 Simplifying b = 2
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