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Simplifying 0.5(j + 4) = j + -1 Reorder the terms: 0.5(4 + j) = j + -1 (4 * 0.5 + j * 0.5) = j + -1 (2 + 0.5j) = j + -1 Reorder the terms: 2 + 0.5j = -1 + j Solving 2 + 0.5j = -1 + j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-1j' to each side of the equation. 2 + 0.5j + -1j = -1 + j + -1j Combine like terms: 0.5j + -1j = -0.5j 2 + -0.5j = -1 + j + -1j Combine like terms: j + -1j = 0 2 + -0.5j = -1 + 0 2 + -0.5j = -1 Add '-2' to each side of the equation. 2 + -2 + -0.5j = -1 + -2 Combine like terms: 2 + -2 = 0 0 + -0.5j = -1 + -2 -0.5j = -1 + -2 Combine like terms: -1 + -2 = -3 -0.5j = -3 Divide each side by '-0.5'. j = 6 Simplifying j = 6
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