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Simplifying 6(b + -2) = 2(2 + -5b) Reorder the terms: 6(-2 + b) = 2(2 + -5b) (-2 * 6 + b * 6) = 2(2 + -5b) (-12 + 6b) = 2(2 + -5b) -12 + 6b = (2 * 2 + -5b * 2) -12 + 6b = (4 + -10b) Solving -12 + 6b = 4 + -10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10b' to each side of the equation. -12 + 6b + 10b = 4 + -10b + 10b Combine like terms: 6b + 10b = 16b -12 + 16b = 4 + -10b + 10b Combine like terms: -10b + 10b = 0 -12 + 16b = 4 + 0 -12 + 16b = 4 Add '12' to each side of the equation. -12 + 12 + 16b = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 16b = 4 + 12 16b = 4 + 12 Combine like terms: 4 + 12 = 16 16b = 16 Divide each side by '16'. b = 1 Simplifying b = 1
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