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Simplifying 7b + 6.75 = 4b + -6.75 Reorder the terms: 6.75 + 7b = 4b + -6.75 Reorder the terms: 6.75 + 7b = -6.75 + 4b Solving 6.75 + 7b = -6.75 + 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. 6.75 + 7b + -4b = -6.75 + 4b + -4b Combine like terms: 7b + -4b = 3b 6.75 + 3b = -6.75 + 4b + -4b Combine like terms: 4b + -4b = 0 6.75 + 3b = -6.75 + 0 6.75 + 3b = -6.75 Add '-6.75' to each side of the equation. 6.75 + -6.75 + 3b = -6.75 + -6.75 Combine like terms: 6.75 + -6.75 = 0.00 0.00 + 3b = -6.75 + -6.75 3b = -6.75 + -6.75 Combine like terms: -6.75 + -6.75 = -13.5 3b = -13.5 Divide each side by '3'. b = -4.5 Simplifying b = -4.5
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