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Simplifying 5.5 + -3b = 4m + -2(6m + 2) Reorder the terms: 5.5 + -3b = 4m + -2(2 + 6m) 5.5 + -3b = 4m + (2 * -2 + 6m * -2) 5.5 + -3b = 4m + (-4 + -12m) Reorder the terms: 5.5 + -3b = -4 + 4m + -12m Combine like terms: 4m + -12m = -8m 5.5 + -3b = -4 + -8m Solving 5.5 + -3b = -4 + -8m Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5.5' to each side of the equation. 5.5 + -5.5 + -3b = -4 + -5.5 + -8m Combine like terms: 5.5 + -5.5 = 0.0 0.0 + -3b = -4 + -5.5 + -8m -3b = -4 + -5.5 + -8m Combine like terms: -4 + -5.5 = -9.5 -3b = -9.5 + -8m Divide each side by '-3'. b = 3.166666667 + 2.666666667m Simplifying b = 3.166666667 + 2.666666667m
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