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Simplifying 5(6 + -1b) + 8 = 14 + -2b (6 * 5 + -1b * 5) + 8 = 14 + -2b (30 + -5b) + 8 = 14 + -2b Reorder the terms: 30 + 8 + -5b = 14 + -2b Combine like terms: 30 + 8 = 38 38 + -5b = 14 + -2b Solving 38 + -5b = 14 + -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. 38 + -5b + 2b = 14 + -2b + 2b Combine like terms: -5b + 2b = -3b 38 + -3b = 14 + -2b + 2b Combine like terms: -2b + 2b = 0 38 + -3b = 14 + 0 38 + -3b = 14 Add '-38' to each side of the equation. 38 + -38 + -3b = 14 + -38 Combine like terms: 38 + -38 = 0 0 + -3b = 14 + -38 -3b = 14 + -38 Combine like terms: 14 + -38 = -24 -3b = -24 Divide each side by '-3'. b = 8 Simplifying b = 8
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