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Simplifying 4(b + 2) = 2(5b + -2) Reorder the terms: 4(2 + b) = 2(5b + -2) (2 * 4 + b * 4) = 2(5b + -2) (8 + 4b) = 2(5b + -2) Reorder the terms: 8 + 4b = 2(-2 + 5b) 8 + 4b = (-2 * 2 + 5b * 2) 8 + 4b = (-4 + 10b) Solving 8 + 4b = -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. 8 + 4b + -10b = -4 + 10b + -10b Combine like terms: 4b + -10b = -6b 8 + -6b = -4 + 10b + -10b Combine like terms: 10b + -10b = 0 8 + -6b = -4 + 0 8 + -6b = -4 Add '-8' to each side of the equation. 8 + -8 + -6b = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -6b = -4 + -8 -6b = -4 + -8 Combine like terms: -4 + -8 = -12 -6b = -12 Divide each side by '-6'. b = 2 Simplifying b = 2
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