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Simplifying -1b + -1(13 + 4b) = -3(5 + -9b) + 8 -1b + (13 * -1 + 4b * -1) = -3(5 + -9b) + 8 -1b + (-13 + -4b) = -3(5 + -9b) + 8 Reorder the terms: -13 + -1b + -4b = -3(5 + -9b) + 8 Combine like terms: -1b + -4b = -5b -13 + -5b = -3(5 + -9b) + 8 -13 + -5b = (5 * -3 + -9b * -3) + 8 -13 + -5b = (-15 + 27b) + 8 Reorder the terms: -13 + -5b = -15 + 8 + 27b Combine like terms: -15 + 8 = -7 -13 + -5b = -7 + 27b Solving -13 + -5b = -7 + 27b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-27b' to each side of the equation. -13 + -5b + -27b = -7 + 27b + -27b Combine like terms: -5b + -27b = -32b -13 + -32b = -7 + 27b + -27b Combine like terms: 27b + -27b = 0 -13 + -32b = -7 + 0 -13 + -32b = -7 Add '13' to each side of the equation. -13 + 13 + -32b = -7 + 13 Combine like terms: -13 + 13 = 0 0 + -32b = -7 + 13 -32b = -7 + 13 Combine like terms: -7 + 13 = 6 -32b = 6 Divide each side by '-32'. b = -0.1875 Simplifying b = -0.1875
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