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Simplifying 3(b + -4) + -6b = 42 Reorder the terms: 3(-4 + b) + -6b = 42 (-4 * 3 + b * 3) + -6b = 42 (-12 + 3b) + -6b = 42 Combine like terms: 3b + -6b = -3b -12 + -3b = 42 Solving -12 + -3b = 42 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -3b = 42 + 12 Combine like terms: -12 + 12 = 0 0 + -3b = 42 + 12 -3b = 42 + 12 Combine like terms: 42 + 12 = 54 -3b = 54 Divide each side by '-3'. b = -18 Simplifying b = -18
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