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Simplifying 3(2b + -4) = 7 + -1(b + 8) Reorder the terms: 3(-4 + 2b) = 7 + -1(b + 8) (-4 * 3 + 2b * 3) = 7 + -1(b + 8) (-12 + 6b) = 7 + -1(b + 8) Reorder the terms: -12 + 6b = 7 + -1(8 + b) -12 + 6b = 7 + (8 * -1 + b * -1) -12 + 6b = 7 + (-8 + -1b) Combine like terms: 7 + -8 = -1 -12 + 6b = -1 + -1b Solving -12 + 6b = -1 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. -12 + 6b + b = -1 + -1b + b Combine like terms: 6b + b = 7b -12 + 7b = -1 + -1b + b Combine like terms: -1b + b = 0 -12 + 7b = -1 + 0 -12 + 7b = -1 Add '12' to each side of the equation. -12 + 12 + 7b = -1 + 12 Combine like terms: -12 + 12 = 0 0 + 7b = -1 + 12 7b = -1 + 12 Combine like terms: -1 + 12 = 11 7b = 11 Divide each side by '7'. b = 1.571428571 Simplifying b = 1.571428571
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