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Simplifying 3 + -8(6 + 2b) = 39 + 5b 3 + (6 * -8 + 2b * -8) = 39 + 5b 3 + (-48 + -16b) = 39 + 5b Combine like terms: 3 + -48 = -45 -45 + -16b = 39 + 5b Solving -45 + -16b = 39 + 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. -45 + -16b + -5b = 39 + 5b + -5b Combine like terms: -16b + -5b = -21b -45 + -21b = 39 + 5b + -5b Combine like terms: 5b + -5b = 0 -45 + -21b = 39 + 0 -45 + -21b = 39 Add '45' to each side of the equation. -45 + 45 + -21b = 39 + 45 Combine like terms: -45 + 45 = 0 0 + -21b = 39 + 45 -21b = 39 + 45 Combine like terms: 39 + 45 = 84 -21b = 84 Divide each side by '-21'. b = -4 Simplifying b = -4
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