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Simplifying -5(6b + -2) = 3b + 7 Reorder the terms: -5(-2 + 6b) = 3b + 7 (-2 * -5 + 6b * -5) = 3b + 7 (10 + -30b) = 3b + 7 Reorder the terms: 10 + -30b = 7 + 3b Solving 10 + -30b = 7 + 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. 10 + -30b + -3b = 7 + 3b + -3b Combine like terms: -30b + -3b = -33b 10 + -33b = 7 + 3b + -3b Combine like terms: 3b + -3b = 0 10 + -33b = 7 + 0 10 + -33b = 7 Add '-10' to each side of the equation. 10 + -10 + -33b = 7 + -10 Combine like terms: 10 + -10 = 0 0 + -33b = 7 + -10 -33b = 7 + -10 Combine like terms: 7 + -10 = -3 -33b = -3 Divide each side by '-33'. b = 0.09090909091 Simplifying b = 0.09090909091
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