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Simplifying 4[3 + 5(3 + -1b) + 2b] = 6 + -2b 4[3 + (3 * 5 + -1b * 5) + 2b] = 6 + -2b 4[3 + (15 + -5b) + 2b] = 6 + -2b Combine like terms: 3 + 15 = 18 4[18 + -5b + 2b] = 6 + -2b Combine like terms: -5b + 2b = -3b 4[18 + -3b] = 6 + -2b [18 * 4 + -3b * 4] = 6 + -2b [72 + -12b] = 6 + -2b Solving 72 + -12b = 6 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. 72 + -12b + 2b = 6 + -2b + 2b Combine like terms: -12b + 2b = -10b 72 + -10b = 6 + -2b + 2b Combine like terms: -2b + 2b = 0 72 + -10b = 6 + 0 72 + -10b = 6 Add '-72' to each side of the equation. 72 + -72 + -10b = 6 + -72 Combine like terms: 72 + -72 = 0 0 + -10b = 6 + -72 -10b = 6 + -72 Combine like terms: 6 + -72 = -66 -10b = -66 Divide each side by '-10'. b = 6.6 Simplifying b = 6.6
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