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Simplifying 8b + 8(-2b + -8) = 16 + 2b Reorder the terms: 8b + 8(-8 + -2b) = 16 + 2b 8b + (-8 * 8 + -2b * 8) = 16 + 2b 8b + (-64 + -16b) = 16 + 2b Reorder the terms: -64 + 8b + -16b = 16 + 2b Combine like terms: 8b + -16b = -8b -64 + -8b = 16 + 2b Solving -64 + -8b = 16 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -64 + -8b + -2b = 16 + 2b + -2b Combine like terms: -8b + -2b = -10b -64 + -10b = 16 + 2b + -2b Combine like terms: 2b + -2b = 0 -64 + -10b = 16 + 0 -64 + -10b = 16 Add '64' to each side of the equation. -64 + 64 + -10b = 16 + 64 Combine like terms: -64 + 64 = 0 0 + -10b = 16 + 64 -10b = 16 + 64 Combine like terms: 16 + 64 = 80 -10b = 80 Divide each side by '-10'. b = -8 Simplifying b = -8
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