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Simplifying 8(j + 12) + 4(k + -9) = 0 Reorder the terms: 8(12 + j) + 4(k + -9) = 0 (12 * 8 + j * 8) + 4(k + -9) = 0 (96 + 8j) + 4(k + -9) = 0 Reorder the terms: 96 + 8j + 4(-9 + k) = 0 96 + 8j + (-9 * 4 + k * 4) = 0 96 + 8j + (-36 + 4k) = 0 Reorder the terms: 96 + -36 + 8j + 4k = 0 Combine like terms: 96 + -36 = 60 60 + 8j + 4k = 0 Solving 60 + 8j + 4k = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + 8j + -60 + 4k = 0 + -60 Reorder the terms: 60 + -60 + 8j + 4k = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 8j + 4k = 0 + -60 8j + 4k = 0 + -60 Combine like terms: 0 + -60 = -60 8j + 4k = -60 Add '-4k' to each side of the equation. 8j + 4k + -4k = -60 + -4k Combine like terms: 4k + -4k = 0 8j + 0 = -60 + -4k 8j = -60 + -4k Divide each side by '8'. j = -7.5 + -0.5k Simplifying j = -7.5 + -0.5k
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