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Simplifying 4(m + -1b) = 2 + 2(m + -3) Reorder the terms: 4(-1b + m) = 2 + 2(m + -3) (-1b * 4 + m * 4) = 2 + 2(m + -3) (-4b + 4m) = 2 + 2(m + -3) Reorder the terms: -4b + 4m = 2 + 2(-3 + m) -4b + 4m = 2 + (-3 * 2 + m * 2) -4b + 4m = 2 + (-6 + 2m) Combine like terms: 2 + -6 = -4 -4b + 4m = -4 + 2m Solving -4b + 4m = -4 + 2m Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4m' to each side of the equation. -4b + 4m + -4m = -4 + 2m + -4m Combine like terms: 4m + -4m = 0 -4b + 0 = -4 + 2m + -4m -4b = -4 + 2m + -4m Combine like terms: 2m + -4m = -2m -4b = -4 + -2m Divide each side by '-4'. b = 1 + 0.5m Simplifying b = 1 + 0.5m
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