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Simplifying -1(1 + -2b) + -3b = -6b + 34 (1 * -1 + -2b * -1) + -3b = -6b + 34 (-1 + 2b) + -3b = -6b + 34 Combine like terms: 2b + -3b = -1b -1 + -1b = -6b + 34 Reorder the terms: -1 + -1b = 34 + -6b Solving -1 + -1b = 34 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. -1 + -1b + 6b = 34 + -6b + 6b Combine like terms: -1b + 6b = 5b -1 + 5b = 34 + -6b + 6b Combine like terms: -6b + 6b = 0 -1 + 5b = 34 + 0 -1 + 5b = 34 Add '1' to each side of the equation. -1 + 1 + 5b = 34 + 1 Combine like terms: -1 + 1 = 0 0 + 5b = 34 + 1 5b = 34 + 1 Combine like terms: 34 + 1 = 35 5b = 35 Divide each side by '5'. b = 7 Simplifying b = 7
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