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Simplifying (2m + 5) + (4b + 7) = 0 Reorder the terms: (5 + 2m) + (4b + 7) = 0 Remove parenthesis around (5 + 2m) 5 + 2m + (4b + 7) = 0 Reorder the terms: 5 + 2m + (7 + 4b) = 0 Remove parenthesis around (7 + 4b) 5 + 2m + 7 + 4b = 0 Reorder the terms: 5 + 7 + 4b + 2m = 0 Combine like terms: 5 + 7 = 12 12 + 4b + 2m = 0 Solving 12 + 4b + 2m = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 4b + -12 + 2m = 0 + -12 Reorder the terms: 12 + -12 + 4b + 2m = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 4b + 2m = 0 + -12 4b + 2m = 0 + -12 Combine like terms: 0 + -12 = -12 4b + 2m = -12 Add '-2m' to each side of the equation. 4b + 2m + -2m = -12 + -2m Combine like terms: 2m + -2m = 0 4b + 0 = -12 + -2m 4b = -12 + -2m Divide each side by '4'. b = -3 + -0.5m Simplifying b = -3 + -0.5m
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