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Simplifying -4(6 + -2b) + 4 = -4(-3 + -6b) (6 * -4 + -2b * -4) + 4 = -4(-3 + -6b) (-24 + 8b) + 4 = -4(-3 + -6b) Reorder the terms: -24 + 4 + 8b = -4(-3 + -6b) Combine like terms: -24 + 4 = -20 -20 + 8b = -4(-3 + -6b) -20 + 8b = (-3 * -4 + -6b * -4) -20 + 8b = (12 + 24b) Solving -20 + 8b = 12 + 24b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-24b' to each side of the equation. -20 + 8b + -24b = 12 + 24b + -24b Combine like terms: 8b + -24b = -16b -20 + -16b = 12 + 24b + -24b Combine like terms: 24b + -24b = 0 -20 + -16b = 12 + 0 -20 + -16b = 12 Add '20' to each side of the equation. -20 + 20 + -16b = 12 + 20 Combine like terms: -20 + 20 = 0 0 + -16b = 12 + 20 -16b = 12 + 20 Combine like terms: 12 + 20 = 32 -16b = 32 Divide each side by '-16'. b = -2 Simplifying b = -2
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