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Simplifying 18 = -3(24 + -1b) + 3(b + -2) 18 = (24 * -3 + -1b * -3) + 3(b + -2) 18 = (-72 + 3b) + 3(b + -2) Reorder the terms: 18 = -72 + 3b + 3(-2 + b) 18 = -72 + 3b + (-2 * 3 + b * 3) 18 = -72 + 3b + (-6 + 3b) Reorder the terms: 18 = -72 + -6 + 3b + 3b Combine like terms: -72 + -6 = -78 18 = -78 + 3b + 3b Combine like terms: 3b + 3b = 6b 18 = -78 + 6b Solving 18 = -78 + 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. 18 + -6b = -78 + 6b + -6b Combine like terms: 6b + -6b = 0 18 + -6b = -78 + 0 18 + -6b = -78 Add '-18' to each side of the equation. 18 + -18 + -6b = -78 + -18 Combine like terms: 18 + -18 = 0 0 + -6b = -78 + -18 -6b = -78 + -18 Combine like terms: -78 + -18 = -96 -6b = -96 Divide each side by '-6'. b = 16 Simplifying b = 16
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