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Simplifying -1b + -36 = 6(1 + -2b) + 5b Reorder the terms: -36 + -1b = 6(1 + -2b) + 5b -36 + -1b = (1 * 6 + -2b * 6) + 5b -36 + -1b = (6 + -12b) + 5b Combine like terms: -12b + 5b = -7b -36 + -1b = 6 + -7b Solving -36 + -1b = 6 + -7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7b' to each side of the equation. -36 + -1b + 7b = 6 + -7b + 7b Combine like terms: -1b + 7b = 6b -36 + 6b = 6 + -7b + 7b Combine like terms: -7b + 7b = 0 -36 + 6b = 6 + 0 -36 + 6b = 6 Add '36' to each side of the equation. -36 + 36 + 6b = 6 + 36 Combine like terms: -36 + 36 = 0 0 + 6b = 6 + 36 6b = 6 + 36 Combine like terms: 6 + 36 = 42 6b = 42 Divide each side by '6'. b = 7 Simplifying b = 7
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