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Simplifying -79 = 2(b + -5) + 7(1 + -3b) Reorder the terms: -79 = 2(-5 + b) + 7(1 + -3b) -79 = (-5 * 2 + b * 2) + 7(1 + -3b) -79 = (-10 + 2b) + 7(1 + -3b) -79 = -10 + 2b + (1 * 7 + -3b * 7) -79 = -10 + 2b + (7 + -21b) Reorder the terms: -79 = -10 + 7 + 2b + -21b Combine like terms: -10 + 7 = -3 -79 = -3 + 2b + -21b Combine like terms: 2b + -21b = -19b -79 = -3 + -19b Solving -79 = -3 + -19b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '19b' to each side of the equation. -79 + 19b = -3 + -19b + 19b Combine like terms: -19b + 19b = 0 -79 + 19b = -3 + 0 -79 + 19b = -3 Add '79' to each side of the equation. -79 + 79 + 19b = -3 + 79 Combine like terms: -79 + 79 = 0 0 + 19b = -3 + 79 19b = -3 + 79 Combine like terms: -3 + 79 = 76 19b = 76 Divide each side by '19'. b = 4 Simplifying b = 4
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