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Simplifying 12 = -3(24 + -1b) + 3(b + -4) 12 = (24 * -3 + -1b * -3) + 3(b + -4) 12 = (-72 + 3b) + 3(b + -4) Reorder the terms: 12 = -72 + 3b + 3(-4 + b) 12 = -72 + 3b + (-4 * 3 + b * 3) 12 = -72 + 3b + (-12 + 3b) Reorder the terms: 12 = -72 + -12 + 3b + 3b Combine like terms: -72 + -12 = -84 12 = -84 + 3b + 3b Combine like terms: 3b + 3b = 6b 12 = -84 + 6b Solving 12 = -84 + 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. 12 + -6b = -84 + 6b + -6b Combine like terms: 6b + -6b = 0 12 + -6b = -84 + 0 12 + -6b = -84 Add '-12' to each side of the equation. 12 + -12 + -6b = -84 + -12 Combine like terms: 12 + -12 = 0 0 + -6b = -84 + -12 -6b = -84 + -12 Combine like terms: -84 + -12 = -96 -6b = -96 Divide each side by '-6'. b = 16 Simplifying b = 16
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