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Simplifying (16i + -4j) + -1(28j + 8j) = 0 Remove parenthesis around (16i + -4j) 16i + -4j + -1(28j + 8j) = 0 Combine like terms: 28j + 8j = 36j 16i + -4j + -1(36j) = 0 Remove parenthesis around (36j) 16i + -4j + -1 * 36j = 0 Multiply -1 * 36 16i + -4j + -36j = 0 Combine like terms: -4j + -36j = -40j 16i + -40j = 0 Solving 16i + -40j = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '40j' to each side of the equation. 16i + -40j + 40j = 0 + 40j Combine like terms: -40j + 40j = 0 16i + 0 = 0 + 40j 16i = 0 + 40j Remove the zero: 16i = 40j Divide each side by '16'. i = 2.5j Simplifying i = 2.5j
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