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Simplifying 4(b + 8) + -2 = 6b + 26 Reorder the terms: 4(8 + b) + -2 = 6b + 26 (8 * 4 + b * 4) + -2 = 6b + 26 (32 + 4b) + -2 = 6b + 26 Reorder the terms: 32 + -2 + 4b = 6b + 26 Combine like terms: 32 + -2 = 30 30 + 4b = 6b + 26 Reorder the terms: 30 + 4b = 26 + 6b Solving 30 + 4b = 26 + 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. 30 + 4b + -6b = 26 + 6b + -6b Combine like terms: 4b + -6b = -2b 30 + -2b = 26 + 6b + -6b Combine like terms: 6b + -6b = 0 30 + -2b = 26 + 0 30 + -2b = 26 Add '-30' to each side of the equation. 30 + -30 + -2b = 26 + -30 Combine like terms: 30 + -30 = 0 0 + -2b = 26 + -30 -2b = 26 + -30 Combine like terms: 26 + -30 = -4 -2b = -4 Divide each side by '-2'. b = 2 Simplifying b = 2
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