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Simplifying -26 = 5(-6b + -7) + -3(b + -3) Reorder the terms: -26 = 5(-7 + -6b) + -3(b + -3) -26 = (-7 * 5 + -6b * 5) + -3(b + -3) -26 = (-35 + -30b) + -3(b + -3) Reorder the terms: -26 = -35 + -30b + -3(-3 + b) -26 = -35 + -30b + (-3 * -3 + b * -3) -26 = -35 + -30b + (9 + -3b) Reorder the terms: -26 = -35 + 9 + -30b + -3b Combine like terms: -35 + 9 = -26 -26 = -26 + -30b + -3b Combine like terms: -30b + -3b = -33b -26 = -26 + -33b Add '26' to each side of the equation. -26 + 26 = -26 + 26 + -33b Combine like terms: -26 + 26 = 0 0 = -26 + 26 + -33b Combine like terms: -26 + 26 = 0 0 = 0 + -33b 0 = -33b Solving 0 = -33b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '33b' to each side of the equation. 0 + 33b = -33b + 33b Remove the zero: 33b = -33b + 33b Combine like terms: -33b + 33b = 0 33b = 0 Divide each side by '33'. b = 0 Simplifying b = 0
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