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Simplifying 10b + 8 + -2(3b + -4) = -12 Reorder the terms: 10b + 8 + -2(-4 + 3b) = -12 10b + 8 + (-4 * -2 + 3b * -2) = -12 10b + 8 + (8 + -6b) = -12 Reorder the terms: 8 + 8 + 10b + -6b = -12 Combine like terms: 8 + 8 = 16 16 + 10b + -6b = -12 Combine like terms: 10b + -6b = 4b 16 + 4b = -12 Solving 16 + 4b = -12 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 4b = -12 + -16 Combine like terms: 16 + -16 = 0 0 + 4b = -12 + -16 4b = -12 + -16 Combine like terms: -12 + -16 = -28 4b = -28 Divide each side by '4'. b = -7 Simplifying b = -7
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