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Simplifying -0.5(6b + 8) = 6(1 + -1b) + -2 Reorder the terms: -0.5(8 + 6b) = 6(1 + -1b) + -2 (8 * -0.5 + 6b * -0.5) = 6(1 + -1b) + -2 (-4 + -3b) = 6(1 + -1b) + -2 -4 + -3b = (1 * 6 + -1b * 6) + -2 -4 + -3b = (6 + -6b) + -2 Reorder the terms: -4 + -3b = 6 + -2 + -6b Combine like terms: 6 + -2 = 4 -4 + -3b = 4 + -6b Solving -4 + -3b = 4 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. -4 + -3b + 6b = 4 + -6b + 6b Combine like terms: -3b + 6b = 3b -4 + 3b = 4 + -6b + 6b Combine like terms: -6b + 6b = 0 -4 + 3b = 4 + 0 -4 + 3b = 4 Add '4' to each side of the equation. -4 + 4 + 3b = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 3b = 4 + 4 3b = 4 + 4 Combine like terms: 4 + 4 = 8 3b = 8 Divide each side by '3'. b = 2.666666667 Simplifying b = 2.666666667
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