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Simplifying 0.2(10b + 60) = -4(b + -12) Reorder the terms: 0.2(60 + 10b) = -4(b + -12) (60 * 0.2 + 10b * 0.2) = -4(b + -12) (12 + 2b) = -4(b + -12) Reorder the terms: 12 + 2b = -4(-12 + b) 12 + 2b = (-12 * -4 + b * -4) 12 + 2b = (48 + -4b) Solving 12 + 2b = 48 + -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. 12 + 2b + 4b = 48 + -4b + 4b Combine like terms: 2b + 4b = 6b 12 + 6b = 48 + -4b + 4b Combine like terms: -4b + 4b = 0 12 + 6b = 48 + 0 12 + 6b = 48 Add '-12' to each side of the equation. 12 + -12 + 6b = 48 + -12 Combine like terms: 12 + -12 = 0 0 + 6b = 48 + -12 6b = 48 + -12 Combine like terms: 48 + -12 = 36 6b = 36 Divide each side by '6'. b = 6 Simplifying b = 6
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