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Simplifying 5(b + -4) + 2b = 3(b + 4) Reorder the terms: 5(-4 + b) + 2b = 3(b + 4) (-4 * 5 + b * 5) + 2b = 3(b + 4) (-20 + 5b) + 2b = 3(b + 4) Combine like terms: 5b + 2b = 7b -20 + 7b = 3(b + 4) Reorder the terms: -20 + 7b = 3(4 + b) -20 + 7b = (4 * 3 + b * 3) -20 + 7b = (12 + 3b) Solving -20 + 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. -20 + 7b + -3b = 12 + 3b + -3b Combine like terms: 7b + -3b = 4b -20 + 4b = 12 + 3b + -3b Combine like terms: 3b + -3b = 0 -20 + 4b = 12 + 0 -20 + 4b = 12 Add '20' to each side of the equation. -20 + 20 + 4b = 12 + 20 Combine like terms: -20 + 20 = 0 0 + 4b = 12 + 20 4b = 12 + 20 Combine like terms: 12 + 20 = 32 4b = 32 Divide each side by '4'. b = 8 Simplifying b = 8
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