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Simplifying 4(1 + -6b) = -10(-2b + 4) (1 * 4 + -6b * 4) = -10(-2b + 4) (4 + -24b) = -10(-2b + 4) Reorder the terms: 4 + -24b = -10(4 + -2b) 4 + -24b = (4 * -10 + -2b * -10) 4 + -24b = (-40 + 20b) Solving 4 + -24b = -40 + 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. 4 + -24b + -20b = -40 + 20b + -20b Combine like terms: -24b + -20b = -44b 4 + -44b = -40 + 20b + -20b Combine like terms: 20b + -20b = 0 4 + -44b = -40 + 0 4 + -44b = -40 Add '-4' to each side of the equation. 4 + -4 + -44b = -40 + -4 Combine like terms: 4 + -4 = 0 0 + -44b = -40 + -4 -44b = -40 + -4 Combine like terms: -40 + -4 = -44 -44b = -44 Divide each side by '-44'. b = 1 Simplifying b = 1
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