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Simplifying 3(4 + -6b) = 4(b + -10) (4 * 3 + -6b * 3) = 4(b + -10) (12 + -18b) = 4(b + -10) Reorder the terms: 12 + -18b = 4(-10 + b) 12 + -18b = (-10 * 4 + b * 4) 12 + -18b = (-40 + 4b) Solving 12 + -18b = -40 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 12 + -18b + -4b = -40 + 4b + -4b Combine like terms: -18b + -4b = -22b 12 + -22b = -40 + 4b + -4b Combine like terms: 4b + -4b = 0 12 + -22b = -40 + 0 12 + -22b = -40 Add '-12' to each side of the equation. 12 + -12 + -22b = -40 + -12 Combine like terms: 12 + -12 = 0 0 + -22b = -40 + -12 -22b = -40 + -12 Combine like terms: -40 + -12 = -52 -22b = -52 Divide each side by '-22'. b = 2.363636364 Simplifying b = 2.363636364
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