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Simplifying -7(b + -2) = 4(b + -3) Reorder the terms: -7(-2 + b) = 4(b + -3) (-2 * -7 + b * -7) = 4(b + -3) (14 + -7b) = 4(b + -3) Reorder the terms: 14 + -7b = 4(-3 + b) 14 + -7b = (-3 * 4 + b * 4) 14 + -7b = (-12 + 4b) Solving 14 + -7b = -12 + 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. 14 + -7b + -4b = -12 + 4b + -4b Combine like terms: -7b + -4b = -11b 14 + -11b = -12 + 4b + -4b Combine like terms: 4b + -4b = 0 14 + -11b = -12 + 0 14 + -11b = -12 Add '-14' to each side of the equation. 14 + -14 + -11b = -12 + -14 Combine like terms: 14 + -14 = 0 0 + -11b = -12 + -14 -11b = -12 + -14 Combine like terms: -12 + -14 = -26 -11b = -26 Divide each side by '-11'. b = 2.363636364 Simplifying b = 2.363636364
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