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Simplifying 3j + -18 = 2(3j + 5) + -1 Reorder the terms: -18 + 3j = 2(3j + 5) + -1 Reorder the terms: -18 + 3j = 2(5 + 3j) + -1 -18 + 3j = (5 * 2 + 3j * 2) + -1 -18 + 3j = (10 + 6j) + -1 Reorder the terms: -18 + 3j = 10 + -1 + 6j Combine like terms: 10 + -1 = 9 -18 + 3j = 9 + 6j Solving -18 + 3j = 9 + 6j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-6j' to each side of the equation. -18 + 3j + -6j = 9 + 6j + -6j Combine like terms: 3j + -6j = -3j -18 + -3j = 9 + 6j + -6j Combine like terms: 6j + -6j = 0 -18 + -3j = 9 + 0 -18 + -3j = 9 Add '18' to each side of the equation. -18 + 18 + -3j = 9 + 18 Combine like terms: -18 + 18 = 0 0 + -3j = 9 + 18 -3j = 9 + 18 Combine like terms: 9 + 18 = 27 -3j = 27 Divide each side by '-3'. j = -9 Simplifying j = -9
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