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Simplifying 4(0.5b + 3) = 7b + -3 Reorder the terms: 4(3 + 0.5b) = 7b + -3 (3 * 4 + 0.5b * 4) = 7b + -3 (12 + 2b) = 7b + -3 Reorder the terms: 12 + 2b = -3 + 7b Solving 12 + 2b = -3 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 12 + 2b + -7b = -3 + 7b + -7b Combine like terms: 2b + -7b = -5b 12 + -5b = -3 + 7b + -7b Combine like terms: 7b + -7b = 0 12 + -5b = -3 + 0 12 + -5b = -3 Add '-12' to each side of the equation. 12 + -12 + -5b = -3 + -12 Combine like terms: 12 + -12 = 0 0 + -5b = -3 + -12 -5b = -3 + -12 Combine like terms: -3 + -12 = -15 -5b = -15 Divide each side by '-5'. b = 3 Simplifying b = 3
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