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Simplifying 7b + -8 = 3(b + 4) Reorder the terms: -8 + 7b = 3(b + 4) Reorder the terms: -8 + 7b = 3(4 + b) -8 + 7b = (4 * 3 + b * 3) -8 + 7b = (12 + 3b) Solving -8 + 7b = 12 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -8 + 7b + -3b = 12 + 3b + -3b Combine like terms: 7b + -3b = 4b -8 + 4b = 12 + 3b + -3b Combine like terms: 3b + -3b = 0 -8 + 4b = 12 + 0 -8 + 4b = 12 Add '8' to each side of the equation. -8 + 8 + 4b = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 4b = 12 + 8 4b = 12 + 8 Combine like terms: 12 + 8 = 20 4b = 20 Divide each side by '4'. b = 5 Simplifying b = 5
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