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Simplifying 8(-1 + -6b) = -2b + 4(4b + -2) (-1 * 8 + -6b * 8) = -2b + 4(4b + -2) (-8 + -48b) = -2b + 4(4b + -2) Reorder the terms: -8 + -48b = -2b + 4(-2 + 4b) -8 + -48b = -2b + (-2 * 4 + 4b * 4) -8 + -48b = -2b + (-8 + 16b) Reorder the terms: -8 + -48b = -8 + -2b + 16b Combine like terms: -2b + 16b = 14b -8 + -48b = -8 + 14b Add '8' to each side of the equation. -8 + 8 + -48b = -8 + 8 + 14b Combine like terms: -8 + 8 = 0 0 + -48b = -8 + 8 + 14b -48b = -8 + 8 + 14b Combine like terms: -8 + 8 = 0 -48b = 0 + 14b -48b = 14b Solving -48b = 14b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-14b' to each side of the equation. -48b + -14b = 14b + -14b Combine like terms: -48b + -14b = -62b -62b = 14b + -14b Combine like terms: 14b + -14b = 0 -62b = 0 Divide each side by '-62'. b = 0 Simplifying b = 0
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