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Simplifying 4(b + -5) + -3b = -33 + 12 Reorder the terms: 4(-5 + b) + -3b = -33 + 12 (-5 * 4 + b * 4) + -3b = -33 + 12 (-20 + 4b) + -3b = -33 + 12 Combine like terms: 4b + -3b = 1b -20 + 1b = -33 + 12 Combine like terms: -33 + 12 = -21 -20 + 1b = -21 Solving -20 + 1b = -21 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 1b = -21 + 20 Combine like terms: -20 + 20 = 0 0 + 1b = -21 + 20 1b = -21 + 20 Combine like terms: -21 + 20 = -1 1b = -1 Divide each side by '1'. b = -1 Simplifying b = -1
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