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Simplifying -3j + -1(-2j) + (-3j) + -12j + 12j + (-19) = 17 Remove parenthesis around (-2j) -3j + -1 * -2j + (-3j) + -12j + 12j + (-19) = 17 Multiply -1 * -2 -3j + 2j + (-3j) + -12j + 12j + (-19) = 17 -3j + 2j + (-3j) + -12j + 12j + -19 = 17 Reorder the terms: -19 + -3j + 2j + (-3j) + -12j + 12j = 17 Combine like terms: -3j + 2j = -1j -19 + -1j + (-3j) + -12j + 12j = 17 Combine like terms: -1j + (-3j) = -4j -19 + -4j + -12j + 12j = 17 Combine like terms: -4j + -12j = -16j -19 + -16j + 12j = 17 Combine like terms: -16j + 12j = -4j -19 + -4j = 17 Solving -19 + -4j = 17 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -4j = 17 + 19 Combine like terms: -19 + 19 = 0 0 + -4j = 17 + 19 -4j = 17 + 19 Combine like terms: 17 + 19 = 36 -4j = 36 Divide each side by '-4'. j = -9 Simplifying j = -9
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