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Simplifying 2(j + -12) + -1(-9) = 19 Reorder the terms: 2(-12 + j) + -1(-9) = 19 (-12 * 2 + j * 2) + -1(-9) = 19 (-24 + 2j) + -1(-9) = 19 Multiply -1 * -9 -24 + 2j + 9 = 19 Reorder the terms: -24 + 9 + 2j = 19 Combine like terms: -24 + 9 = -15 -15 + 2j = 19 Solving -15 + 2j = 19 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 2j = 19 + 15 Combine like terms: -15 + 15 = 0 0 + 2j = 19 + 15 2j = 19 + 15 Combine like terms: 19 + 15 = 34 2j = 34 Divide each side by '2'. j = 17 Simplifying j = 17
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