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Simplifying -2(4b + 1) + -13 = 5(2b + 3) Reorder the terms: -2(1 + 4b) + -13 = 5(2b + 3) (1 * -2 + 4b * -2) + -13 = 5(2b + 3) (-2 + -8b) + -13 = 5(2b + 3) Reorder the terms: -2 + -13 + -8b = 5(2b + 3) Combine like terms: -2 + -13 = -15 -15 + -8b = 5(2b + 3) Reorder the terms: -15 + -8b = 5(3 + 2b) -15 + -8b = (3 * 5 + 2b * 5) -15 + -8b = (15 + 10b) Solving -15 + -8b = 15 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. -15 + -8b + -10b = 15 + 10b + -10b Combine like terms: -8b + -10b = -18b -15 + -18b = 15 + 10b + -10b Combine like terms: 10b + -10b = 0 -15 + -18b = 15 + 0 -15 + -18b = 15 Add '15' to each side of the equation. -15 + 15 + -18b = 15 + 15 Combine like terms: -15 + 15 = 0 0 + -18b = 15 + 15 -18b = 15 + 15 Combine like terms: 15 + 15 = 30 -18b = 30 Divide each side by '-18'. b = -1.666666667 Simplifying b = -1.666666667
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