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Simplifying 6(b + -4) = 7 + -9(b + -1) Reorder the terms: 6(-4 + b) = 7 + -9(b + -1) (-4 * 6 + b * 6) = 7 + -9(b + -1) (-24 + 6b) = 7 + -9(b + -1) Reorder the terms: -24 + 6b = 7 + -9(-1 + b) -24 + 6b = 7 + (-1 * -9 + b * -9) -24 + 6b = 7 + (9 + -9b) Combine like terms: 7 + 9 = 16 -24 + 6b = 16 + -9b Solving -24 + 6b = 16 + -9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '9b' to each side of the equation. -24 + 6b + 9b = 16 + -9b + 9b Combine like terms: 6b + 9b = 15b -24 + 15b = 16 + -9b + 9b Combine like terms: -9b + 9b = 0 -24 + 15b = 16 + 0 -24 + 15b = 16 Add '24' to each side of the equation. -24 + 24 + 15b = 16 + 24 Combine like terms: -24 + 24 = 0 0 + 15b = 16 + 24 15b = 16 + 24 Combine like terms: 16 + 24 = 40 15b = 40 Divide each side by '15'. b = 2.666666667 Simplifying b = 2.666666667
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