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Simplifying 4(-4 + 3b) + 2 = 8b + -34 (-4 * 4 + 3b * 4) + 2 = 8b + -34 (-16 + 12b) + 2 = 8b + -34 Reorder the terms: -16 + 2 + 12b = 8b + -34 Combine like terms: -16 + 2 = -14 -14 + 12b = 8b + -34 Reorder the terms: -14 + 12b = -34 + 8b Solving -14 + 12b = -34 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. -14 + 12b + -8b = -34 + 8b + -8b Combine like terms: 12b + -8b = 4b -14 + 4b = -34 + 8b + -8b Combine like terms: 8b + -8b = 0 -14 + 4b = -34 + 0 -14 + 4b = -34 Add '14' to each side of the equation. -14 + 14 + 4b = -34 + 14 Combine like terms: -14 + 14 = 0 0 + 4b = -34 + 14 4b = -34 + 14 Combine like terms: -34 + 14 = -20 4b = -20 Divide each side by '4'. b = -5 Simplifying b = -5
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