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Simplifying 14 + -8(2 + -3b) = 6(b + -2) 14 + (2 * -8 + -3b * -8) = 6(b + -2) 14 + (-16 + 24b) = 6(b + -2) Combine like terms: 14 + -16 = -2 -2 + 24b = 6(b + -2) Reorder the terms: -2 + 24b = 6(-2 + b) -2 + 24b = (-2 * 6 + b * 6) -2 + 24b = (-12 + 6b) Solving -2 + 24b = -12 + 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. -2 + 24b + -6b = -12 + 6b + -6b Combine like terms: 24b + -6b = 18b -2 + 18b = -12 + 6b + -6b Combine like terms: 6b + -6b = 0 -2 + 18b = -12 + 0 -2 + 18b = -12 Add '2' to each side of the equation. -2 + 2 + 18b = -12 + 2 Combine like terms: -2 + 2 = 0 0 + 18b = -12 + 2 18b = -12 + 2 Combine like terms: -12 + 2 = -10 18b = -10 Divide each side by '18'. b = -0.5555555556 Simplifying b = -0.5555555556
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