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Simplifying 8(j + -4) = 2(4) + -16 Reorder the terms: 8(-4 + j) = 2(4) + -16 (-4 * 8 + j * 8) = 2(4) + -16 (-32 + 8j) = 2(4) + -16 Multiply 2 * 4 -32 + 8j = 8 + -16 Combine like terms: 8 + -16 = -8 -32 + 8j = -8 Solving -32 + 8j = -8 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 8j = -8 + 32 Combine like terms: -32 + 32 = 0 0 + 8j = -8 + 32 8j = -8 + 32 Combine like terms: -8 + 32 = 24 8j = 24 Divide each side by '8'. j = 3 Simplifying j = 3
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