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