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Simplifying -6(b + 3) = 2b + -34 Reorder the terms: -6(3 + b) = 2b + -34 (3 * -6 + b * -6) = 2b + -34 (-18 + -6b) = 2b + -34 Reorder the terms: -18 + -6b = -34 + 2b Solving -18 + -6b = -34 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -18 + -6b + -2b = -34 + 2b + -2b Combine like terms: -6b + -2b = -8b -18 + -8b = -34 + 2b + -2b Combine like terms: 2b + -2b = 0 -18 + -8b = -34 + 0 -18 + -8b = -34 Add '18' to each side of the equation. -18 + 18 + -8b = -34 + 18 Combine like terms: -18 + 18 = 0 0 + -8b = -34 + 18 -8b = -34 + 18 Combine like terms: -34 + 18 = -16 -8b = -16 Divide each side by '-8'. b = 2 Simplifying b = 2
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