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