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Simplifying 1 + 2[b + 6] = 5[b + -1] Reorder the terms: 1 + 2[6 + b] = 5[b + -1] 1 + [6 * 2 + b * 2] = 5[b + -1] 1 + [12 + 2b] = 5[b + -1] Combine like terms: 1 + 12 = 13 13 + 2b = 5[b + -1] Reorder the terms: 13 + 2b = 5[-1 + b] 13 + 2b = [-1 * 5 + b * 5] 13 + 2b = [-5 + 5b] Solving 13 + 2b = -5 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 13 + 2b + -5b = -5 + 5b + -5b Combine like terms: 2b + -5b = -3b 13 + -3b = -5 + 5b + -5b Combine like terms: 5b + -5b = 0 13 + -3b = -5 + 0 13 + -3b = -5 Add '-13' to each side of the equation. 13 + -13 + -3b = -5 + -13 Combine like terms: 13 + -13 = 0 0 + -3b = -5 + -13 -3b = -5 + -13 Combine like terms: -5 + -13 = -18 -3b = -18 Divide each side by '-3'. b = 6 Simplifying b = 6
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