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Simplifying 4(13 + -1b) = 6(2 + -0.5b) (13 * 4 + -1b * 4) = 6(2 + -0.5b) (52 + -4b) = 6(2 + -0.5b) 52 + -4b = (2 * 6 + -0.5b * 6) 52 + -4b = (12 + -3b) Solving 52 + -4b = 12 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. 52 + -4b + 3b = 12 + -3b + 3b Combine like terms: -4b + 3b = -1b 52 + -1b = 12 + -3b + 3b Combine like terms: -3b + 3b = 0 52 + -1b = 12 + 0 52 + -1b = 12 Add '-52' to each side of the equation. 52 + -52 + -1b = 12 + -52 Combine like terms: 52 + -52 = 0 0 + -1b = 12 + -52 -1b = 12 + -52 Combine like terms: 12 + -52 = -40 -1b = -40 Divide each side by '-1'. b = 40 Simplifying b = 40
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