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Simplifying 2b + 5 + (-4b) + 7 = -6b + 21 Reorder the terms: 5 + 7 + 2b + (-4b) = -6b + 21 Combine like terms: 5 + 7 = 12 12 + 2b + (-4b) = -6b + 21 Combine like terms: 2b + (-4b) = -2b 12 + -2b = -6b + 21 Reorder the terms: 12 + -2b = 21 + -6b Solving 12 + -2b = 21 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. 12 + -2b + 6b = 21 + -6b + 6b Combine like terms: -2b + 6b = 4b 12 + 4b = 21 + -6b + 6b Combine like terms: -6b + 6b = 0 12 + 4b = 21 + 0 12 + 4b = 21 Add '-12' to each side of the equation. 12 + -12 + 4b = 21 + -12 Combine like terms: 12 + -12 = 0 0 + 4b = 21 + -12 4b = 21 + -12 Combine like terms: 21 + -12 = 9 4b = 9 Divide each side by '4'. b = 2.25 Simplifying b = 2.25
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