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Simplifying 4(b + -3) + -1b = b + -6 Reorder the terms: 4(-3 + b) + -1b = b + -6 (-3 * 4 + b * 4) + -1b = b + -6 (-12 + 4b) + -1b = b + -6 Combine like terms: 4b + -1b = 3b -12 + 3b = b + -6 Reorder the terms: -12 + 3b = -6 + b Solving -12 + 3b = -6 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. -12 + 3b + -1b = -6 + b + -1b Combine like terms: 3b + -1b = 2b -12 + 2b = -6 + b + -1b Combine like terms: b + -1b = 0 -12 + 2b = -6 + 0 -12 + 2b = -6 Add '12' to each side of the equation. -12 + 12 + 2b = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 2b = -6 + 12 2b = -6 + 12 Combine like terms: -6 + 12 = 6 2b = 6 Divide each side by '2'. b = 3 Simplifying b = 3
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