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Simplifying -6(b + -4) + 3 = 9 + -1(b + -3) Reorder the terms: -6(-4 + b) + 3 = 9 + -1(b + -3) (-4 * -6 + b * -6) + 3 = 9 + -1(b + -3) (24 + -6b) + 3 = 9 + -1(b + -3) Reorder the terms: 24 + 3 + -6b = 9 + -1(b + -3) Combine like terms: 24 + 3 = 27 27 + -6b = 9 + -1(b + -3) Reorder the terms: 27 + -6b = 9 + -1(-3 + b) 27 + -6b = 9 + (-3 * -1 + b * -1) 27 + -6b = 9 + (3 + -1b) Combine like terms: 9 + 3 = 12 27 + -6b = 12 + -1b Solving 27 + -6b = 12 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. 27 + -6b + b = 12 + -1b + b Combine like terms: -6b + b = -5b 27 + -5b = 12 + -1b + b Combine like terms: -1b + b = 0 27 + -5b = 12 + 0 27 + -5b = 12 Add '-27' to each side of the equation. 27 + -27 + -5b = 12 + -27 Combine like terms: 27 + -27 = 0 0 + -5b = 12 + -27 -5b = 12 + -27 Combine like terms: 12 + -27 = -15 -5b = -15 Divide each side by '-5'. b = 3 Simplifying b = 3
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