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Simplifying (6b + -10) + -1(-2b + -9) = 0 Reorder the terms: (-10 + 6b) + -1(-2b + -9) = 0 Remove parenthesis around (-10 + 6b) -10 + 6b + -1(-2b + -9) = 0 Reorder the terms: -10 + 6b + -1(-9 + -2b) = 0 -10 + 6b + (-9 * -1 + -2b * -1) = 0 -10 + 6b + (9 + 2b) = 0 Reorder the terms: -10 + 9 + 6b + 2b = 0 Combine like terms: -10 + 9 = -1 -1 + 6b + 2b = 0 Combine like terms: 6b + 2b = 8b -1 + 8b = 0 Solving -1 + 8b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 8b = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 8b = 0 + 1 8b = 0 + 1 Combine like terms: 0 + 1 = 1 8b = 1 Divide each side by '8'. b = 0.125 Simplifying b = 0.125
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