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Simplifying 49(4 + -1x + 4d) + -3j = 40c Reorder the terms: 49(4 + 4d + -1x) + -3j = 40c (4 * 49 + 4d * 49 + -1x * 49) + -3j = 40c (196 + 196d + -49x) + -3j = 40c Reorder the terms: 196 + 196d + -3j + -49x = 40c Solving 196 + 196d + -3j + -49x = 40c Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-196' to each side of the equation. 196 + 196d + -3j + -196 + -49x = -196 + 40c Reorder the terms: 196 + -196 + 196d + -3j + -49x = -196 + 40c Combine like terms: 196 + -196 = 0 0 + 196d + -3j + -49x = -196 + 40c 196d + -3j + -49x = -196 + 40c Add '3j' to each side of the equation. 196d + -3j + 3j + -49x = -196 + 40c + 3j Combine like terms: -3j + 3j = 0 196d + 0 + -49x = -196 + 40c + 3j 196d + -49x = -196 + 40c + 3j Add '49x' to each side of the equation. 196d + -49x + 49x = -196 + 40c + 3j + 49x Combine like terms: -49x + 49x = 0 196d + 0 = -196 + 40c + 3j + 49x 196d = -196 + 40c + 3j + 49x Divide each side by '196'. d = -1 + 0.2040816327c + 0.01530612245j + 0.25x Simplifying d = -1 + 0.2040816327c + 0.01530612245j + 0.25x
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