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Simplifying 8(j + -8) = 2j + -4 Reorder the terms: 8(-8 + j) = 2j + -4 (-8 * 8 + j * 8) = 2j + -4 (-64 + 8j) = 2j + -4 Reorder the terms: -64 + 8j = -4 + 2j Solving -64 + 8j = -4 + 2j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-2j' to each side of the equation. -64 + 8j + -2j = -4 + 2j + -2j Combine like terms: 8j + -2j = 6j -64 + 6j = -4 + 2j + -2j Combine like terms: 2j + -2j = 0 -64 + 6j = -4 + 0 -64 + 6j = -4 Add '64' to each side of the equation. -64 + 64 + 6j = -4 + 64 Combine like terms: -64 + 64 = 0 0 + 6j = -4 + 64 6j = -4 + 64 Combine like terms: -4 + 64 = 60 6j = 60 Divide each side by '6'. j = 10 Simplifying j = 10
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