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Simplifying -7(4b + 5) = -24 + 6b Reorder the terms: -7(5 + 4b) = -24 + 6b (5 * -7 + 4b * -7) = -24 + 6b (-35 + -28b) = -24 + 6b Solving -35 + -28b = -24 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. -35 + -28b + -6b = -24 + 6b + -6b Combine like terms: -28b + -6b = -34b -35 + -34b = -24 + 6b + -6b Combine like terms: 6b + -6b = 0 -35 + -34b = -24 + 0 -35 + -34b = -24 Add '35' to each side of the equation. -35 + 35 + -34b = -24 + 35 Combine like terms: -35 + 35 = 0 0 + -34b = -24 + 35 -34b = -24 + 35 Combine like terms: -24 + 35 = 11 -34b = 11 Divide each side by '-34'. b = -0.3235294118 Simplifying b = -0.3235294118
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