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Simplifying -4(1 + 3b) = -2b + -34 (1 * -4 + 3b * -4) = -2b + -34 (-4 + -12b) = -2b + -34 Reorder the terms: -4 + -12b = -34 + -2b Solving -4 + -12b = -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. -4 + -12b + 2b = -34 + -2b + 2b Combine like terms: -12b + 2b = -10b -4 + -10b = -34 + -2b + 2b Combine like terms: -2b + 2b = 0 -4 + -10b = -34 + 0 -4 + -10b = -34 Add '4' to each side of the equation. -4 + 4 + -10b = -34 + 4 Combine like terms: -4 + 4 = 0 0 + -10b = -34 + 4 -10b = -34 + 4 Combine like terms: -34 + 4 = -30 -10b = -30 Divide each side by '-10'. b = 3 Simplifying b = 3
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