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Simplifying 6(b + -12) + 5(b + -13) = 6 Reorder the terms: 6(-12 + b) + 5(b + -13) = 6 (-12 * 6 + b * 6) + 5(b + -13) = 6 (-72 + 6b) + 5(b + -13) = 6 Reorder the terms: -72 + 6b + 5(-13 + b) = 6 -72 + 6b + (-13 * 5 + b * 5) = 6 -72 + 6b + (-65 + 5b) = 6 Reorder the terms: -72 + -65 + 6b + 5b = 6 Combine like terms: -72 + -65 = -137 -137 + 6b + 5b = 6 Combine like terms: 6b + 5b = 11b -137 + 11b = 6 Solving -137 + 11b = 6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '137' to each side of the equation. -137 + 137 + 11b = 6 + 137 Combine like terms: -137 + 137 = 0 0 + 11b = 6 + 137 11b = 6 + 137 Combine like terms: 6 + 137 = 143 11b = 143 Divide each side by '11'. b = 13 Simplifying b = 13
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