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Simplifying 2(b + -5) = 4(b + 2) + -12 Reorder the terms: 2(-5 + b) = 4(b + 2) + -12 (-5 * 2 + b * 2) = 4(b + 2) + -12 (-10 + 2b) = 4(b + 2) + -12 Reorder the terms: -10 + 2b = 4(2 + b) + -12 -10 + 2b = (2 * 4 + b * 4) + -12 -10 + 2b = (8 + 4b) + -12 Reorder the terms: -10 + 2b = 8 + -12 + 4b Combine like terms: 8 + -12 = -4 -10 + 2b = -4 + 4b Solving -10 + 2b = -4 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -10 + 2b + -4b = -4 + 4b + -4b Combine like terms: 2b + -4b = -2b -10 + -2b = -4 + 4b + -4b Combine like terms: 4b + -4b = 0 -10 + -2b = -4 + 0 -10 + -2b = -4 Add '10' to each side of the equation. -10 + 10 + -2b = -4 + 10 Combine like terms: -10 + 10 = 0 0 + -2b = -4 + 10 -2b = -4 + 10 Combine like terms: -4 + 10 = 6 -2b = 6 Divide each side by '-2'. b = -3 Simplifying b = -3
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