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Simplifying -2(8b + 2) = 4(b + -6) Reorder the terms: -2(2 + 8b) = 4(b + -6) (2 * -2 + 8b * -2) = 4(b + -6) (-4 + -16b) = 4(b + -6) Reorder the terms: -4 + -16b = 4(-6 + b) -4 + -16b = (-6 * 4 + b * 4) -4 + -16b = (-24 + 4b) Solving -4 + -16b = -24 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -4 + -16b + -4b = -24 + 4b + -4b Combine like terms: -16b + -4b = -20b -4 + -20b = -24 + 4b + -4b Combine like terms: 4b + -4b = 0 -4 + -20b = -24 + 0 -4 + -20b = -24 Add '4' to each side of the equation. -4 + 4 + -20b = -24 + 4 Combine like terms: -4 + 4 = 0 0 + -20b = -24 + 4 -20b = -24 + 4 Combine like terms: -24 + 4 = -20 -20b = -20 Divide each side by '-20'. b = 1 Simplifying b = 1
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