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Simplifying 8(j + -4) = 3j + 2 Reorder the terms: 8(-4 + j) = 3j + 2 (-4 * 8 + j * 8) = 3j + 2 (-32 + 8j) = 3j + 2 Reorder the terms: -32 + 8j = 2 + 3j Solving -32 + 8j = 2 + 3j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-3j' to each side of the equation. -32 + 8j + -3j = 2 + 3j + -3j Combine like terms: 8j + -3j = 5j -32 + 5j = 2 + 3j + -3j Combine like terms: 3j + -3j = 0 -32 + 5j = 2 + 0 -32 + 5j = 2 Add '32' to each side of the equation. -32 + 32 + 5j = 2 + 32 Combine like terms: -32 + 32 = 0 0 + 5j = 2 + 32 5j = 2 + 32 Combine like terms: 2 + 32 = 34 5j = 34 Divide each side by '5'. j = 6.8 Simplifying j = 6.8
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