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Simplifying -1(b + -6) + 2(-8b + -5) = -38 Reorder the terms: -1(-6 + b) + 2(-8b + -5) = -38 (-6 * -1 + b * -1) + 2(-8b + -5) = -38 (6 + -1b) + 2(-8b + -5) = -38 Reorder the terms: 6 + -1b + 2(-5 + -8b) = -38 6 + -1b + (-5 * 2 + -8b * 2) = -38 6 + -1b + (-10 + -16b) = -38 Reorder the terms: 6 + -10 + -1b + -16b = -38 Combine like terms: 6 + -10 = -4 -4 + -1b + -16b = -38 Combine like terms: -1b + -16b = -17b -4 + -17b = -38 Solving -4 + -17b = -38 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -17b = -38 + 4 Combine like terms: -4 + 4 = 0 0 + -17b = -38 + 4 -17b = -38 + 4 Combine like terms: -38 + 4 = -34 -17b = -34 Divide each side by '-17'. b = 2 Simplifying b = 2
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