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Simplifying 46.98 = 5.8(b + -3.1) Reorder the terms: 46.98 = 5.8(-3.1 + b) 46.98 = (-3.1 * 5.8 + b * 5.8) 46.98 = (-17.98 + 5.8b) Solving 46.98 = -17.98 + 5.8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5.8b' to each side of the equation. 46.98 + -5.8b = -17.98 + 5.8b + -5.8b Combine like terms: 5.8b + -5.8b = 0.0 46.98 + -5.8b = -17.98 + 0.0 46.98 + -5.8b = -17.98 Add '-46.98' to each side of the equation. 46.98 + -46.98 + -5.8b = -17.98 + -46.98 Combine like terms: 46.98 + -46.98 = 0.00 0.00 + -5.8b = -17.98 + -46.98 -5.8b = -17.98 + -46.98 Combine like terms: -17.98 + -46.98 = -64.96 -5.8b = -64.96 Divide each side by '-5.8'. b = 11.2 Simplifying b = 11.2
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