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Simplifying 4(-2b + -6) = -2(3b + 2) Reorder the terms: 4(-6 + -2b) = -2(3b + 2) (-6 * 4 + -2b * 4) = -2(3b + 2) (-24 + -8b) = -2(3b + 2) Reorder the terms: -24 + -8b = -2(2 + 3b) -24 + -8b = (2 * -2 + 3b * -2) -24 + -8b = (-4 + -6b) Solving -24 + -8b = -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. -24 + -8b + 6b = -4 + -6b + 6b Combine like terms: -8b + 6b = -2b -24 + -2b = -4 + -6b + 6b Combine like terms: -6b + 6b = 0 -24 + -2b = -4 + 0 -24 + -2b = -4 Add '24' to each side of the equation. -24 + 24 + -2b = -4 + 24 Combine like terms: -24 + 24 = 0 0 + -2b = -4 + 24 -2b = -4 + 24 Combine like terms: -4 + 24 = 20 -2b = 20 Divide each side by '-2'. b = -10 Simplifying b = -10
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