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Simplifying -18 + 2(j + -12) = -12j Reorder the terms: -18 + 2(-12 + j) = -12j -18 + (-12 * 2 + j * 2) = -12j -18 + (-24 + 2j) = -12j Combine like terms: -18 + -24 = -42 -42 + 2j = -12j Solving -42 + 2j = -12j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '12j' to each side of the equation. -42 + 2j + 12j = -12j + 12j Combine like terms: 2j + 12j = 14j -42 + 14j = -12j + 12j Combine like terms: -12j + 12j = 0 -42 + 14j = 0 Add '42' to each side of the equation. -42 + 42 + 14j = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 14j = 0 + 42 14j = 0 + 42 Combine like terms: 0 + 42 = 42 14j = 42 Divide each side by '14'. j = 3 Simplifying j = 3
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