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Simplifying 6(b + -3) + 2b = -3 + -40 Reorder the terms: 6(-3 + b) + 2b = -3 + -40 (-3 * 6 + b * 6) + 2b = -3 + -40 (-18 + 6b) + 2b = -3 + -40 Combine like terms: 6b + 2b = 8b -18 + 8b = -3 + -40 Combine like terms: -3 + -40 = -43 -18 + 8b = -43 Solving -18 + 8b = -43 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 8b = -43 + 18 Combine like terms: -18 + 18 = 0 0 + 8b = -43 + 18 8b = -43 + 18 Combine like terms: -43 + 18 = -25 8b = -25 Divide each side by '8'. b = -3.125 Simplifying b = -3.125
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