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Simplifying 7b + -4.6 = -3b + 9.8 Reorder the terms: -4.6 + 7b = -3b + 9.8 Reorder the terms: -4.6 + 7b = 9.8 + -3b Solving -4.6 + 7b = 9.8 + -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 = 9.8 + -3b + 3b Combine like terms: 7b + 3b = 10b -4.6 + 10b = 9.8 + -3b + 3b Combine like terms: -3b + 3b = 0 -4.6 + 10b = 9.8 + 0 -4.6 + 10b = 9.8 Add '4.6' to each side of the equation. -4.6 + 4.6 + 10b = 9.8 + 4.6 Combine like terms: -4.6 + 4.6 = 0.0 0.0 + 10b = 9.8 + 4.6 10b = 9.8 + 4.6 Combine like terms: 9.8 + 4.6 = 14.4 10b = 14.4 Divide each side by '10'. b = 1.44 Simplifying b = 1.44
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