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Simplifying -8(b + -2) = 4(2b + -3) Reorder the terms: -8(-2 + b) = 4(2b + -3) (-2 * -8 + b * -8) = 4(2b + -3) (16 + -8b) = 4(2b + -3) Reorder the terms: 16 + -8b = 4(-3 + 2b) 16 + -8b = (-3 * 4 + 2b * 4) 16 + -8b = (-12 + 8b) Solving 16 + -8b = -12 + 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. 16 + -8b + -8b = -12 + 8b + -8b Combine like terms: -8b + -8b = -16b 16 + -16b = -12 + 8b + -8b Combine like terms: 8b + -8b = 0 16 + -16b = -12 + 0 16 + -16b = -12 Add '-16' to each side of the equation. 16 + -16 + -16b = -12 + -16 Combine like terms: 16 + -16 = 0 0 + -16b = -12 + -16 -16b = -12 + -16 Combine like terms: -12 + -16 = -28 -16b = -28 Divide each side by '-16'. b = 1.75 Simplifying b = 1.75
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