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Simplifying 13 + -1b(4) = 6(2 + -0.5b) Reorder the terms for easier multiplication: 13 + -1 * 4b = 6(2 + -0.5b) Multiply -1 * 4 13 + -4b = 6(2 + -0.5b) 13 + -4b = (2 * 6 + -0.5b * 6) 13 + -4b = (12 + -3b) Solving 13 + -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. 13 + -4b + 3b = 12 + -3b + 3b Combine like terms: -4b + 3b = -1b 13 + -1b = 12 + -3b + 3b Combine like terms: -3b + 3b = 0 13 + -1b = 12 + 0 13 + -1b = 12 Add '-13' to each side of the equation. 13 + -13 + -1b = 12 + -13 Combine like terms: 13 + -13 = 0 0 + -1b = 12 + -13 -1b = 12 + -13 Combine like terms: 12 + -13 = -1 -1b = -1 Divide each side by '-1'. b = 1 Simplifying b = 1
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