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Simplifying -31 + -3j = -7 + 8(4k + -3) Reorder the terms: -31 + -3j = -7 + 8(-3 + 4k) -31 + -3j = -7 + (-3 * 8 + 4k * 8) -31 + -3j = -7 + (-24 + 32k) Combine like terms: -7 + -24 = -31 -31 + -3j = -31 + 32k Add '31' to each side of the equation. -31 + 31 + -3j = -31 + 31 + 32k Combine like terms: -31 + 31 = 0 0 + -3j = -31 + 31 + 32k -3j = -31 + 31 + 32k Combine like terms: -31 + 31 = 0 -3j = 0 + 32k -3j = 32k Solving -3j = 32k Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Divide each side by '-3'. j = -10.66666667k Simplifying j = -10.66666667k
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