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Simplifying 6(0.5b + 3) + 4(12 + -1b) = 0.833 Reorder the terms: 6(3 + 0.5b) + 4(12 + -1b) = 0.833 (3 * 6 + 0.5b * 6) + 4(12 + -1b) = 0.833 (18 + 3b) + 4(12 + -1b) = 0.833 18 + 3b + (12 * 4 + -1b * 4) = 0.833 18 + 3b + (48 + -4b) = 0.833 Reorder the terms: 18 + 48 + 3b + -4b = 0.833 Combine like terms: 18 + 48 = 66 66 + 3b + -4b = 0.833 Combine like terms: 3b + -4b = -1b 66 + -1b = 0.833 Solving 66 + -1b = 0.833 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -66 + -1b = 0.833 + -66 Combine like terms: 66 + -66 = 0 0 + -1b = 0.833 + -66 -1b = 0.833 + -66 Combine like terms: 0.833 + -66 = -65.167 -1b = -65.167 Divide each side by '-1'. b = 65.167 Simplifying b = 65.167
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