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Simplifying 6(13 + -1b) = 4(2 + -0.5b) (13 * 6 + -1b * 6) = 4(2 + -0.5b) (78 + -6b) = 4(2 + -0.5b) 78 + -6b = (2 * 4 + -0.5b * 4) 78 + -6b = (8 + -2b) Solving 78 + -6b = 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. 78 + -6b + 2b = 8 + -2b + 2b Combine like terms: -6b + 2b = -4b 78 + -4b = 8 + -2b + 2b Combine like terms: -2b + 2b = 0 78 + -4b = 8 + 0 78 + -4b = 8 Add '-78' to each side of the equation. 78 + -78 + -4b = 8 + -78 Combine like terms: 78 + -78 = 0 0 + -4b = 8 + -78 -4b = 8 + -78 Combine like terms: 8 + -78 = -70 -4b = -70 Divide each side by '-4'. b = 17.5 Simplifying b = 17.5
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