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Simplifying 6 + 1 + 3b + -3b + -5b = b + -2 Combine like terms: 6 + 1 = 7 7 + 3b + -3b + -5b = b + -2 Combine like terms: 3b + -3b = 0 7 + 0 + -5b = b + -2 7 + -5b = b + -2 Reorder the terms: 7 + -5b = -2 + b Solving 7 + -5b = -2 + b 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 + -5b + -1b = -2 + b + -1b Combine like terms: -5b + -1b = -6b 7 + -6b = -2 + b + -1b Combine like terms: b + -1b = 0 7 + -6b = -2 + 0 7 + -6b = -2 Add '-7' to each side of the equation. 7 + -7 + -6b = -2 + -7 Combine like terms: 7 + -7 = 0 0 + -6b = -2 + -7 -6b = -2 + -7 Combine like terms: -2 + -7 = -9 -6b = -9 Divide each side by '-6'. b = 1.5 Simplifying b = 1.5
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