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Simplifying -2b + -2(4b + 6) = -12b + -42 Reorder the terms: -2b + -2(6 + 4b) = -12b + -42 -2b + (6 * -2 + 4b * -2) = -12b + -42 -2b + (-12 + -8b) = -12b + -42 Reorder the terms: -12 + -2b + -8b = -12b + -42 Combine like terms: -2b + -8b = -10b -12 + -10b = -12b + -42 Reorder the terms: -12 + -10b = -42 + -12b Solving -12 + -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. -12 + -10b + 12b = -42 + -12b + 12b Combine like terms: -10b + 12b = 2b -12 + 2b = -42 + -12b + 12b Combine like terms: -12b + 12b = 0 -12 + 2b = -42 + 0 -12 + 2b = -42 Add '12' to each side of the equation. -12 + 12 + 2b = -42 + 12 Combine like terms: -12 + 12 = 0 0 + 2b = -42 + 12 2b = -42 + 12 Combine like terms: -42 + 12 = -30 2b = -30 Divide each side by '2'. b = -15 Simplifying b = -15
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