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Simplifying 2 = -6(1 + 4b) + -7(1 + -3b) 2 = (1 * -6 + 4b * -6) + -7(1 + -3b) 2 = (-6 + -24b) + -7(1 + -3b) 2 = -6 + -24b + (1 * -7 + -3b * -7) 2 = -6 + -24b + (-7 + 21b) Reorder the terms: 2 = -6 + -7 + -24b + 21b Combine like terms: -6 + -7 = -13 2 = -13 + -24b + 21b Combine like terms: -24b + 21b = -3b 2 = -13 + -3b Solving 2 = -13 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. 2 + 3b = -13 + -3b + 3b Combine like terms: -3b + 3b = 0 2 + 3b = -13 + 0 2 + 3b = -13 Add '-2' to each side of the equation. 2 + -2 + 3b = -13 + -2 Combine like terms: 2 + -2 = 0 0 + 3b = -13 + -2 3b = -13 + -2 Combine like terms: -13 + -2 = -15 3b = -15 Divide each side by '3'. b = -5 Simplifying b = -5
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