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Simplifying (10b + -2) + -6(2b + 3) = -2 Reorder the terms: (-2 + 10b) + -6(2b + 3) = -2 Remove parenthesis around (-2 + 10b) -2 + 10b + -6(2b + 3) = -2 Reorder the terms: -2 + 10b + -6(3 + 2b) = -2 -2 + 10b + (3 * -6 + 2b * -6) = -2 -2 + 10b + (-18 + -12b) = -2 Reorder the terms: -2 + -18 + 10b + -12b = -2 Combine like terms: -2 + -18 = -20 -20 + 10b + -12b = -2 Combine like terms: 10b + -12b = -2b -20 + -2b = -2 Solving -20 + -2b = -2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -2b = -2 + 20 Combine like terms: -20 + 20 = 0 0 + -2b = -2 + 20 -2b = -2 + 20 Combine like terms: -2 + 20 = 18 -2b = 18 Divide each side by '-2'. b = -9 Simplifying b = -9
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