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Simplifying 3(13 + -6) = 4(2 + -0.5b) Combine like terms: 13 + -6 = 7 3(7) = 4(2 + -0.5b) Multiply 3 * 7 21 = 4(2 + -0.5b) 21 = (2 * 4 + -0.5b * 4) 21 = (8 + -2b) Solving 21 = 8 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. 21 + 2b = 8 + -2b + 2b Combine like terms: -2b + 2b = 0 21 + 2b = 8 + 0 21 + 2b = 8 Add '-21' to each side of the equation. 21 + -21 + 2b = 8 + -21 Combine like terms: 21 + -21 = 0 0 + 2b = 8 + -21 2b = 8 + -21 Combine like terms: 8 + -21 = -13 2b = -13 Divide each side by '2'. b = -6.5 Simplifying b = -6.5
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