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Simplifying 5(b + -4) + -3(b + 4) = 6 Reorder the terms: 5(-4 + b) + -3(b + 4) = 6 (-4 * 5 + b * 5) + -3(b + 4) = 6 (-20 + 5b) + -3(b + 4) = 6 Reorder the terms: -20 + 5b + -3(4 + b) = 6 -20 + 5b + (4 * -3 + b * -3) = 6 -20 + 5b + (-12 + -3b) = 6 Reorder the terms: -20 + -12 + 5b + -3b = 6 Combine like terms: -20 + -12 = -32 -32 + 5b + -3b = 6 Combine like terms: 5b + -3b = 2b -32 + 2b = 6 Solving -32 + 2b = 6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 2b = 6 + 32 Combine like terms: -32 + 32 = 0 0 + 2b = 6 + 32 2b = 6 + 32 Combine like terms: 6 + 32 = 38 2b = 38 Divide each side by '2'. b = 19 Simplifying b = 19
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