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Simplifying 0.72(8b + 4) + -1 = 4b + 14 Reorder the terms: 0.72(4 + 8b) + -1 = 4b + 14 (4 * 0.72 + 8b * 0.72) + -1 = 4b + 14 (2.88 + 5.76b) + -1 = 4b + 14 Reorder the terms: 2.88 + -1 + 5.76b = 4b + 14 Combine like terms: 2.88 + -1 = 1.88 1.88 + 5.76b = 4b + 14 Reorder the terms: 1.88 + 5.76b = 14 + 4b Solving 1.88 + 5.76b = 14 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 1.88 + 5.76b + -4b = 14 + 4b + -4b Combine like terms: 5.76b + -4b = 1.76b 1.88 + 1.76b = 14 + 4b + -4b Combine like terms: 4b + -4b = 0 1.88 + 1.76b = 14 + 0 1.88 + 1.76b = 14 Add '-1.88' to each side of the equation. 1.88 + -1.88 + 1.76b = 14 + -1.88 Combine like terms: 1.88 + -1.88 = 0.00 0.00 + 1.76b = 14 + -1.88 1.76b = 14 + -1.88 Combine like terms: 14 + -1.88 = 12.12 1.76b = 12.12 Divide each side by '1.76'. b = 6.886363636 Simplifying b = 6.886363636
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