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Simplifying 6(b + 2) + -4b = 2(3b + 8) + -5b Reorder the terms: 6(2 + b) + -4b = 2(3b + 8) + -5b (2 * 6 + b * 6) + -4b = 2(3b + 8) + -5b (12 + 6b) + -4b = 2(3b + 8) + -5b Combine like terms: 6b + -4b = 2b 12 + 2b = 2(3b + 8) + -5b Reorder the terms: 12 + 2b = 2(8 + 3b) + -5b 12 + 2b = (8 * 2 + 3b * 2) + -5b 12 + 2b = (16 + 6b) + -5b Combine like terms: 6b + -5b = 1b 12 + 2b = 16 + 1b Solving 12 + 2b = 16 + 1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 12 + 2b + -1b = 16 + 1b + -1b Combine like terms: 2b + -1b = 1b 12 + 1b = 16 + 1b + -1b Combine like terms: 1b + -1b = 0 12 + 1b = 16 + 0 12 + 1b = 16 Add '-12' to each side of the equation. 12 + -12 + 1b = 16 + -12 Combine like terms: 12 + -12 = 0 0 + 1b = 16 + -12 1b = 16 + -12 Combine like terms: 16 + -12 = 4 1b = 4 Divide each side by '1'. b = 4 Simplifying b = 4
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