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Simplifying 5 + -3(b + -4) = 6b + 8 Reorder the terms: 5 + -3(-4 + b) = 6b + 8 5 + (-4 * -3 + b * -3) = 6b + 8 5 + (12 + -3b) = 6b + 8 Combine like terms: 5 + 12 = 17 17 + -3b = 6b + 8 Reorder the terms: 17 + -3b = 8 + 6b Solving 17 + -3b = 8 + 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. 17 + -3b + -6b = 8 + 6b + -6b Combine like terms: -3b + -6b = -9b 17 + -9b = 8 + 6b + -6b Combine like terms: 6b + -6b = 0 17 + -9b = 8 + 0 17 + -9b = 8 Add '-17' to each side of the equation. 17 + -17 + -9b = 8 + -17 Combine like terms: 17 + -17 = 0 0 + -9b = 8 + -17 -9b = 8 + -17 Combine like terms: 8 + -17 = -9 -9b = -9 Divide each side by '-9'. b = 1 Simplifying b = 1
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