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Simplifying 7b + -3(c + -4) = 8 Reorder the terms: 7b + -3(-4 + c) = 8 7b + (-4 * -3 + c * -3) = 8 7b + (12 + -3c) = 8 Reorder the terms: 12 + 7b + -3c = 8 Solving 12 + 7b + -3c = 8 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 7b + -12 + -3c = 8 + -12 Reorder the terms: 12 + -12 + 7b + -3c = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 7b + -3c = 8 + -12 7b + -3c = 8 + -12 Combine like terms: 8 + -12 = -4 7b + -3c = -4 Add '3c' to each side of the equation. 7b + -3c + 3c = -4 + 3c Combine like terms: -3c + 3c = 0 7b + 0 = -4 + 3c 7b = -4 + 3c Divide each side by '7'. b = -0.5714285714 + 0.4285714286c Simplifying b = -0.5714285714 + 0.4285714286c
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