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Simplifying 6(b + -3) + 2b = -3b + -40 Reorder the terms: 6(-3 + b) + 2b = -3b + -40 (-3 * 6 + b * 6) + 2b = -3b + -40 (-18 + 6b) + 2b = -3b + -40 Combine like terms: 6b + 2b = 8b -18 + 8b = -3b + -40 Reorder the terms: -18 + 8b = -40 + -3b Solving -18 + 8b = -40 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. -18 + 8b + 3b = -40 + -3b + 3b Combine like terms: 8b + 3b = 11b -18 + 11b = -40 + -3b + 3b Combine like terms: -3b + 3b = 0 -18 + 11b = -40 + 0 -18 + 11b = -40 Add '18' to each side of the equation. -18 + 18 + 11b = -40 + 18 Combine like terms: -18 + 18 = 0 0 + 11b = -40 + 18 11b = -40 + 18 Combine like terms: -40 + 18 = -22 11b = -22 Divide each side by '11'. b = -2 Simplifying b = -2
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