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