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Simplifying -3b + 6(-7 + -1b) = -26 + 7b -3b + (-7 * 6 + -1b * 6) = -26 + 7b -3b + (-42 + -6b) = -26 + 7b Reorder the terms: -42 + -3b + -6b = -26 + 7b Combine like terms: -3b + -6b = -9b -42 + -9b = -26 + 7b Solving -42 + -9b = -26 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -42 + -9b + -7b = -26 + 7b + -7b Combine like terms: -9b + -7b = -16b -42 + -16b = -26 + 7b + -7b Combine like terms: 7b + -7b = 0 -42 + -16b = -26 + 0 -42 + -16b = -26 Add '42' to each side of the equation. -42 + 42 + -16b = -26 + 42 Combine like terms: -42 + 42 = 0 0 + -16b = -26 + 42 -16b = -26 + 42 Combine like terms: -26 + 42 = 16 -16b = 16 Divide each side by '-16'. b = -1 Simplifying b = -1
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