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Simplifying -6(8b + 3) = -34 + 7b Reorder the terms: -6(3 + 8b) = -34 + 7b (3 * -6 + 8b * -6) = -34 + 7b (-18 + -48b) = -34 + 7b Solving -18 + -48b = -34 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -18 + -48b + -7b = -34 + 7b + -7b Combine like terms: -48b + -7b = -55b -18 + -55b = -34 + 7b + -7b Combine like terms: 7b + -7b = 0 -18 + -55b = -34 + 0 -18 + -55b = -34 Add '18' to each side of the equation. -18 + 18 + -55b = -34 + 18 Combine like terms: -18 + 18 = 0 0 + -55b = -34 + 18 -55b = -34 + 18 Combine like terms: -34 + 18 = -16 -55b = -16 Divide each side by '-55'. b = 0.2909090909 Simplifying b = 0.2909090909
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