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Simplifying 1 + 6(b + 6) = -6b + 13 Reorder the terms: 1 + 6(6 + b) = -6b + 13 1 + (6 * 6 + b * 6) = -6b + 13 1 + (36 + 6b) = -6b + 13 Combine like terms: 1 + 36 = 37 37 + 6b = -6b + 13 Reorder the terms: 37 + 6b = 13 + -6b Solving 37 + 6b = 13 + -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. 37 + 6b + 6b = 13 + -6b + 6b Combine like terms: 6b + 6b = 12b 37 + 12b = 13 + -6b + 6b Combine like terms: -6b + 6b = 0 37 + 12b = 13 + 0 37 + 12b = 13 Add '-37' to each side of the equation. 37 + -37 + 12b = 13 + -37 Combine like terms: 37 + -37 = 0 0 + 12b = 13 + -37 12b = 13 + -37 Combine like terms: 13 + -37 = -24 12b = -24 Divide each side by '12'. b = -2 Simplifying b = -2
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