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Simplifying -7b + -31 = 6(3 + 7b) Reorder the terms: -31 + -7b = 6(3 + 7b) -31 + -7b = (3 * 6 + 7b * 6) -31 + -7b = (18 + 42b) Solving -31 + -7b = 18 + 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. -31 + -7b + -42b = 18 + 42b + -42b Combine like terms: -7b + -42b = -49b -31 + -49b = 18 + 42b + -42b Combine like terms: 42b + -42b = 0 -31 + -49b = 18 + 0 -31 + -49b = 18 Add '31' to each side of the equation. -31 + 31 + -49b = 18 + 31 Combine like terms: -31 + 31 = 0 0 + -49b = 18 + 31 -49b = 18 + 31 Combine like terms: 18 + 31 = 49 -49b = 49 Divide each side by '-49'. b = -1 Simplifying b = -1
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