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Simplifying (4b + 6) + 7(-3 + 7b) = 18 Reorder the terms: (6 + 4b) + 7(-3 + 7b) = 18 Remove parenthesis around (6 + 4b) 6 + 4b + 7(-3 + 7b) = 18 6 + 4b + (-3 * 7 + 7b * 7) = 18 6 + 4b + (-21 + 49b) = 18 Reorder the terms: 6 + -21 + 4b + 49b = 18 Combine like terms: 6 + -21 = -15 -15 + 4b + 49b = 18 Combine like terms: 4b + 49b = 53b -15 + 53b = 18 Solving -15 + 53b = 18 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 53b = 18 + 15 Combine like terms: -15 + 15 = 0 0 + 53b = 18 + 15 53b = 18 + 15 Combine like terms: 18 + 15 = 33 53b = 33 Divide each side by '53'. b = 0.6226415094 Simplifying b = 0.6226415094
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