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Simplifying -2(b + 3) + -8b = -6(2b + 7) Reorder the terms: -2(3 + b) + -8b = -6(2b + 7) (3 * -2 + b * -2) + -8b = -6(2b + 7) (-6 + -2b) + -8b = -6(2b + 7) Combine like terms: -2b + -8b = -10b -6 + -10b = -6(2b + 7) Reorder the terms: -6 + -10b = -6(7 + 2b) -6 + -10b = (7 * -6 + 2b * -6) -6 + -10b = (-42 + -12b) Solving -6 + -10b = -42 + -12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12b' to each side of the equation. -6 + -10b + 12b = -42 + -12b + 12b Combine like terms: -10b + 12b = 2b -6 + 2b = -42 + -12b + 12b Combine like terms: -12b + 12b = 0 -6 + 2b = -42 + 0 -6 + 2b = -42 Add '6' to each side of the equation. -6 + 6 + 2b = -42 + 6 Combine like terms: -6 + 6 = 0 0 + 2b = -42 + 6 2b = -42 + 6 Combine like terms: -42 + 6 = -36 2b = -36 Divide each side by '2'. b = -18 Simplifying b = -18
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