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Simplifying 0.25(j + -8) = 0.5j + 2 Reorder the terms: 0.25(-8 + j) = 0.5j + 2 (-8 * 0.25 + j * 0.25) = 0.5j + 2 (-2 + 0.25j) = 0.5j + 2 Reorder the terms: -2 + 0.25j = 2 + 0.5j Solving -2 + 0.25j = 2 + 0.5j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-0.5j' to each side of the equation. -2 + 0.25j + -0.5j = 2 + 0.5j + -0.5j Combine like terms: 0.25j + -0.5j = -0.25j -2 + -0.25j = 2 + 0.5j + -0.5j Combine like terms: 0.5j + -0.5j = 0.0 -2 + -0.25j = 2 + 0.0 -2 + -0.25j = 2 Add '2' to each side of the equation. -2 + 2 + -0.25j = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -0.25j = 2 + 2 -0.25j = 2 + 2 Combine like terms: 2 + 2 = 4 -0.25j = 4 Divide each side by '-0.25'. j = -16 Simplifying j = -16
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