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Simplifying -6(b + -8) + -6 = 8(2b + -4) Reorder the terms: -6(-8 + b) + -6 = 8(2b + -4) (-8 * -6 + b * -6) + -6 = 8(2b + -4) (48 + -6b) + -6 = 8(2b + -4) Reorder the terms: 48 + -6 + -6b = 8(2b + -4) Combine like terms: 48 + -6 = 42 42 + -6b = 8(2b + -4) Reorder the terms: 42 + -6b = 8(-4 + 2b) 42 + -6b = (-4 * 8 + 2b * 8) 42 + -6b = (-32 + 16b) Solving 42 + -6b = -32 + 16b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-16b' to each side of the equation. 42 + -6b + -16b = -32 + 16b + -16b Combine like terms: -6b + -16b = -22b 42 + -22b = -32 + 16b + -16b Combine like terms: 16b + -16b = 0 42 + -22b = -32 + 0 42 + -22b = -32 Add '-42' to each side of the equation. 42 + -42 + -22b = -32 + -42 Combine like terms: 42 + -42 = 0 0 + -22b = -32 + -42 -22b = -32 + -42 Combine like terms: -32 + -42 = -74 -22b = -74 Divide each side by '-22'. b = 3.363636364 Simplifying b = 3.363636364
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