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Simplifying 3b + -8(2b + -3) = 102 Reorder the terms: 3b + -8(-3 + 2b) = 102 3b + (-3 * -8 + 2b * -8) = 102 3b + (24 + -16b) = 102 Reorder the terms: 24 + 3b + -16b = 102 Combine like terms: 3b + -16b = -13b 24 + -13b = 102 Solving 24 + -13b = 102 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -13b = 102 + -24 Combine like terms: 24 + -24 = 0 0 + -13b = 102 + -24 -13b = 102 + -24 Combine like terms: 102 + -24 = 78 -13b = 78 Divide each side by '-13'. b = -6 Simplifying b = -6
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