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Simplifying 8(2 + -6b) + -3b = -40 + 5b (2 * 8 + -6b * 8) + -3b = -40 + 5b (16 + -48b) + -3b = -40 + 5b Combine like terms: -48b + -3b = -51b 16 + -51b = -40 + 5b Solving 16 + -51b = -40 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 16 + -51b + -5b = -40 + 5b + -5b Combine like terms: -51b + -5b = -56b 16 + -56b = -40 + 5b + -5b Combine like terms: 5b + -5b = 0 16 + -56b = -40 + 0 16 + -56b = -40 Add '-16' to each side of the equation. 16 + -16 + -56b = -40 + -16 Combine like terms: 16 + -16 = 0 0 + -56b = -40 + -16 -56b = -40 + -16 Combine like terms: -40 + -16 = -56 -56b = -56 Divide each side by '-56'. b = 1 Simplifying b = 1
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