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Simplifying b + -1 = 4(b + -2) + -1(b + 3) Reorder the terms: -1 + b = 4(b + -2) + -1(b + 3) Reorder the terms: -1 + b = 4(-2 + b) + -1(b + 3) -1 + b = (-2 * 4 + b * 4) + -1(b + 3) -1 + b = (-8 + 4b) + -1(b + 3) Reorder the terms: -1 + b = -8 + 4b + -1(3 + b) -1 + b = -8 + 4b + (3 * -1 + b * -1) -1 + b = -8 + 4b + (-3 + -1b) Reorder the terms: -1 + b = -8 + -3 + 4b + -1b Combine like terms: -8 + -3 = -11 -1 + b = -11 + 4b + -1b Combine like terms: 4b + -1b = 3b -1 + b = -11 + 3b Solving -1 + b = -11 + 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. -1 + b + -3b = -11 + 3b + -3b Combine like terms: b + -3b = -2b -1 + -2b = -11 + 3b + -3b Combine like terms: 3b + -3b = 0 -1 + -2b = -11 + 0 -1 + -2b = -11 Add '1' to each side of the equation. -1 + 1 + -2b = -11 + 1 Combine like terms: -1 + 1 = 0 0 + -2b = -11 + 1 -2b = -11 + 1 Combine like terms: -11 + 1 = -10 -2b = -10 Divide each side by '-2'. b = 5 Simplifying b = 5
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