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Simplifying 7(b + -1) = 4b + 12 Reorder the terms: 7(-1 + b) = 4b + 12 (-1 * 7 + b * 7) = 4b + 12 (-7 + 7b) = 4b + 12 Reorder the terms: -7 + 7b = 12 + 4b Solving -7 + 7b = 12 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -7 + 7b + -4b = 12 + 4b + -4b Combine like terms: 7b + -4b = 3b -7 + 3b = 12 + 4b + -4b Combine like terms: 4b + -4b = 0 -7 + 3b = 12 + 0 -7 + 3b = 12 Add '7' to each side of the equation. -7 + 7 + 3b = 12 + 7 Combine like terms: -7 + 7 = 0 0 + 3b = 12 + 7 3b = 12 + 7 Combine like terms: 12 + 7 = 19 3b = 19 Divide each side by '3'. b = 6.333333333 Simplifying b = 6.333333333
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