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Simplifying 7(b + 4) + 2 = 4(21b + 4) + 6 Reorder the terms: 7(4 + b) + 2 = 4(21b + 4) + 6 (4 * 7 + b * 7) + 2 = 4(21b + 4) + 6 (28 + 7b) + 2 = 4(21b + 4) + 6 Reorder the terms: 28 + 2 + 7b = 4(21b + 4) + 6 Combine like terms: 28 + 2 = 30 30 + 7b = 4(21b + 4) + 6 Reorder the terms: 30 + 7b = 4(4 + 21b) + 6 30 + 7b = (4 * 4 + 21b * 4) + 6 30 + 7b = (16 + 84b) + 6 Reorder the terms: 30 + 7b = 16 + 6 + 84b Combine like terms: 16 + 6 = 22 30 + 7b = 22 + 84b Solving 30 + 7b = 22 + 84b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-84b' to each side of the equation. 30 + 7b + -84b = 22 + 84b + -84b Combine like terms: 7b + -84b = -77b 30 + -77b = 22 + 84b + -84b Combine like terms: 84b + -84b = 0 30 + -77b = 22 + 0 30 + -77b = 22 Add '-30' to each side of the equation. 30 + -30 + -77b = 22 + -30 Combine like terms: 30 + -30 = 0 0 + -77b = 22 + -30 -77b = 22 + -30 Combine like terms: 22 + -30 = -8 -77b = -8 Divide each side by '-77'. b = 0.1038961039 Simplifying b = 0.1038961039
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