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Simplifying -34 + -7b = -3(6b + 4) Reorder the terms: -34 + -7b = -3(4 + 6b) -34 + -7b = (4 * -3 + 6b * -3) -34 + -7b = (-12 + -18b) Solving -34 + -7b = -12 + -18b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '18b' to each side of the equation. -34 + -7b + 18b = -12 + -18b + 18b Combine like terms: -7b + 18b = 11b -34 + 11b = -12 + -18b + 18b Combine like terms: -18b + 18b = 0 -34 + 11b = -12 + 0 -34 + 11b = -12 Add '34' to each side of the equation. -34 + 34 + 11b = -12 + 34 Combine like terms: -34 + 34 = 0 0 + 11b = -12 + 34 11b = -12 + 34 Combine like terms: -12 + 34 = 22 11b = 22 Divide each side by '11'. b = 2 Simplifying b = 2
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