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Simplifying 2(3 + -4b) + -5(2b + 3) = 2b + -17 (3 * 2 + -4b * 2) + -5(2b + 3) = 2b + -17 (6 + -8b) + -5(2b + 3) = 2b + -17 Reorder the terms: 6 + -8b + -5(3 + 2b) = 2b + -17 6 + -8b + (3 * -5 + 2b * -5) = 2b + -17 6 + -8b + (-15 + -10b) = 2b + -17 Reorder the terms: 6 + -15 + -8b + -10b = 2b + -17 Combine like terms: 6 + -15 = -9 -9 + -8b + -10b = 2b + -17 Combine like terms: -8b + -10b = -18b -9 + -18b = 2b + -17 Reorder the terms: -9 + -18b = -17 + 2b Solving -9 + -18b = -17 + 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. -9 + -18b + -2b = -17 + 2b + -2b Combine like terms: -18b + -2b = -20b -9 + -20b = -17 + 2b + -2b Combine like terms: 2b + -2b = 0 -9 + -20b = -17 + 0 -9 + -20b = -17 Add '9' to each side of the equation. -9 + 9 + -20b = -17 + 9 Combine like terms: -9 + 9 = 0 0 + -20b = -17 + 9 -20b = -17 + 9 Combine like terms: -17 + 9 = -8 -20b = -8 Divide each side by '-20'. b = 0.4 Simplifying b = 0.4
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