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Simplifying 7b + (-4.6) = 3b + 6.2 7b + -4.6 = 3b + 6.2 Reorder the terms: -4.6 + 7b = 3b + 6.2 Reorder the terms: -4.6 + 7b = 6.2 + 3b Solving -4.6 + 7b = 6.2 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -4.6 + 7b + -3b = 6.2 + 3b + -3b Combine like terms: 7b + -3b = 4b -4.6 + 4b = 6.2 + 3b + -3b Combine like terms: 3b + -3b = 0 -4.6 + 4b = 6.2 + 0 -4.6 + 4b = 6.2 Add '4.6' to each side of the equation. -4.6 + 4.6 + 4b = 6.2 + 4.6 Combine like terms: -4.6 + 4.6 = 0.0 0.0 + 4b = 6.2 + 4.6 4b = 6.2 + 4.6 Combine like terms: 6.2 + 4.6 = 10.8 4b = 10.8 Divide each side by '4'. b = 2.7 Simplifying b = 2.7
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