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Simplifying -2(1 + 2b) + 1 = 34 + 3b (1 * -2 + 2b * -2) + 1 = 34 + 3b (-2 + -4b) + 1 = 34 + 3b Reorder the terms: -2 + 1 + -4b = 34 + 3b Combine like terms: -2 + 1 = -1 -1 + -4b = 34 + 3b Solving -1 + -4b = 34 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -1 + -4b + -3b = 34 + 3b + -3b Combine like terms: -4b + -3b = -7b -1 + -7b = 34 + 3b + -3b Combine like terms: 3b + -3b = 0 -1 + -7b = 34 + 0 -1 + -7b = 34 Add '1' to each side of the equation. -1 + 1 + -7b = 34 + 1 Combine like terms: -1 + 1 = 0 0 + -7b = 34 + 1 -7b = 34 + 1 Combine like terms: 34 + 1 = 35 -7b = 35 Divide each side by '-7'. b = -5 Simplifying b = -5
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