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Simplifying 4b + 7 = 1b + 15 Reorder the terms: 7 + 4b = 1b + 15 Reorder the terms: 7 + 4b = 15 + 1b Solving 7 + 4b = 15 + 1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 7 + 4b + -1b = 15 + 1b + -1b Combine like terms: 4b + -1b = 3b 7 + 3b = 15 + 1b + -1b Combine like terms: 1b + -1b = 0 7 + 3b = 15 + 0 7 + 3b = 15 Add '-7' to each side of the equation. 7 + -7 + 3b = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 3b = 15 + -7 3b = 15 + -7 Combine like terms: 15 + -7 = 8 3b = 8 Divide each side by '3'. b = 2.666666667 Simplifying b = 2.666666667
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