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Simplifying (16i + -28j) + -1(4i + 8j) = 0 Remove parenthesis around (16i + -28j) 16i + -28j + -1(4i + 8j) = 0 16i + -28j + (4i * -1 + 8j * -1) = 0 16i + -28j + (-4i + -8j) = 0 Reorder the terms: 16i + -4i + -28j + -8j = 0 Combine like terms: 16i + -4i = 12i 12i + -28j + -8j = 0 Combine like terms: -28j + -8j = -36j 12i + -36j = 0 Solving 12i + -36j = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '36j' to each side of the equation. 12i + -36j + 36j = 0 + 36j Combine like terms: -36j + 36j = 0 12i + 0 = 0 + 36j 12i = 0 + 36j Remove the zero: 12i = 36j Divide each side by '12'. i = 3j Simplifying i = 3j
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