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Simplifying 2b + -2 = -3(b + 4) Reorder the terms: -2 + 2b = -3(b + 4) Reorder the terms: -2 + 2b = -3(4 + b) -2 + 2b = (4 * -3 + b * -3) -2 + 2b = (-12 + -3b) Solving -2 + 2b = -12 + -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. -2 + 2b + 3b = -12 + -3b + 3b Combine like terms: 2b + 3b = 5b -2 + 5b = -12 + -3b + 3b Combine like terms: -3b + 3b = 0 -2 + 5b = -12 + 0 -2 + 5b = -12 Add '2' to each side of the equation. -2 + 2 + 5b = -12 + 2 Combine like terms: -2 + 2 = 0 0 + 5b = -12 + 2 5b = -12 + 2 Combine like terms: -12 + 2 = -10 5b = -10 Divide each side by '5'. b = -2 Simplifying b = -2
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