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Simplifying -171 = -7 + 4(5b + -6) Reorder the terms: -171 = -7 + 4(-6 + 5b) -171 = -7 + (-6 * 4 + 5b * 4) -171 = -7 + (-24 + 20b) Combine like terms: -7 + -24 = -31 -171 = -31 + 20b Solving -171 = -31 + 20b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-20b' to each side of the equation. -171 + -20b = -31 + 20b + -20b Combine like terms: 20b + -20b = 0 -171 + -20b = -31 + 0 -171 + -20b = -31 Add '171' to each side of the equation. -171 + 171 + -20b = -31 + 171 Combine like terms: -171 + 171 = 0 0 + -20b = -31 + 171 -20b = -31 + 171 Combine like terms: -31 + 171 = 140 -20b = 140 Divide each side by '-20'. b = -7 Simplifying b = -7
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