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Simplifying 6b + 5(-3b + -2) = -12 + -7b Reorder the terms: 6b + 5(-2 + -3b) = -12 + -7b 6b + (-2 * 5 + -3b * 5) = -12 + -7b 6b + (-10 + -15b) = -12 + -7b Reorder the terms: -10 + 6b + -15b = -12 + -7b Combine like terms: 6b + -15b = -9b -10 + -9b = -12 + -7b Solving -10 + -9b = -12 + -7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7b' to each side of the equation. -10 + -9b + 7b = -12 + -7b + 7b Combine like terms: -9b + 7b = -2b -10 + -2b = -12 + -7b + 7b Combine like terms: -7b + 7b = 0 -10 + -2b = -12 + 0 -10 + -2b = -12 Add '10' to each side of the equation. -10 + 10 + -2b = -12 + 10 Combine like terms: -10 + 10 = 0 0 + -2b = -12 + 10 -2b = -12 + 10 Combine like terms: -12 + 10 = -2 -2b = -2 Divide each side by '-2'. b = 1 Simplifying b = 1
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