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Simplifying 2(j + -4) = j + 7 Reorder the terms: 2(-4 + j) = j + 7 (-4 * 2 + j * 2) = j + 7 (-8 + 2j) = j + 7 Reorder the terms: -8 + 2j = 7 + j Solving -8 + 2j = 7 + 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. -8 + 2j + -1j = 7 + j + -1j Combine like terms: 2j + -1j = 1j -8 + 1j = 7 + j + -1j Combine like terms: j + -1j = 0 -8 + 1j = 7 + 0 -8 + 1j = 7 Add '8' to each side of the equation. -8 + 8 + 1j = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 1j = 7 + 8 1j = 7 + 8 Combine like terms: 7 + 8 = 15 1j = 15 Divide each side by '1'. j = 15 Simplifying j = 15
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