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Simplifying 8(b + -2) + 2b = -1(-5b + 8) + -3b Reorder the terms: 8(-2 + b) + 2b = -1(-5b + 8) + -3b (-2 * 8 + b * 8) + 2b = -1(-5b + 8) + -3b (-16 + 8b) + 2b = -1(-5b + 8) + -3b Combine like terms: 8b + 2b = 10b -16 + 10b = -1(-5b + 8) + -3b Reorder the terms: -16 + 10b = -1(8 + -5b) + -3b -16 + 10b = (8 * -1 + -5b * -1) + -3b -16 + 10b = (-8 + 5b) + -3b Combine like terms: 5b + -3b = 2b -16 + 10b = -8 + 2b Solving -16 + 10b = -8 + 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. -16 + 10b + -2b = -8 + 2b + -2b Combine like terms: 10b + -2b = 8b -16 + 8b = -8 + 2b + -2b Combine like terms: 2b + -2b = 0 -16 + 8b = -8 + 0 -16 + 8b = -8 Add '16' to each side of the equation. -16 + 16 + 8b = -8 + 16 Combine like terms: -16 + 16 = 0 0 + 8b = -8 + 16 8b = -8 + 16 Combine like terms: -8 + 16 = 8 8b = 8 Divide each side by '8'. b = 1 Simplifying b = 1
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