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Simplifying -4(3b + 9) = 24 + 3(2b + -8) Reorder the terms: -4(9 + 3b) = 24 + 3(2b + -8) (9 * -4 + 3b * -4) = 24 + 3(2b + -8) (-36 + -12b) = 24 + 3(2b + -8) Reorder the terms: -36 + -12b = 24 + 3(-8 + 2b) -36 + -12b = 24 + (-8 * 3 + 2b * 3) -36 + -12b = 24 + (-24 + 6b) Combine like terms: 24 + -24 = 0 -36 + -12b = 0 + 6b -36 + -12b = 6b Solving -36 + -12b = 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. -36 + -12b + -6b = 6b + -6b Combine like terms: -12b + -6b = -18b -36 + -18b = 6b + -6b Combine like terms: 6b + -6b = 0 -36 + -18b = 0 Add '36' to each side of the equation. -36 + 36 + -18b = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -18b = 0 + 36 -18b = 0 + 36 Combine like terms: 0 + 36 = 36 -18b = 36 Divide each side by '-18'. b = -2 Simplifying b = -2
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