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Simplifying -4(b + 4) = -9 + -3b Reorder the terms: -4(4 + b) = -9 + -3b (4 * -4 + b * -4) = -9 + -3b (-16 + -4b) = -9 + -3b Solving -16 + -4b = -9 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. -16 + -4b + 3b = -9 + -3b + 3b Combine like terms: -4b + 3b = -1b -16 + -1b = -9 + -3b + 3b Combine like terms: -3b + 3b = 0 -16 + -1b = -9 + 0 -16 + -1b = -9 Add '16' to each side of the equation. -16 + 16 + -1b = -9 + 16 Combine like terms: -16 + 16 = 0 0 + -1b = -9 + 16 -1b = -9 + 16 Combine like terms: -9 + 16 = 7 -1b = 7 Divide each side by '-1'. b = -7 Simplifying b = -7
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