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Simplifying 3(j + -5) = 4(3j + 3) + 18 Reorder the terms: 3(-5 + j) = 4(3j + 3) + 18 (-5 * 3 + j * 3) = 4(3j + 3) + 18 (-15 + 3j) = 4(3j + 3) + 18 Reorder the terms: -15 + 3j = 4(3 + 3j) + 18 -15 + 3j = (3 * 4 + 3j * 4) + 18 -15 + 3j = (12 + 12j) + 18 Reorder the terms: -15 + 3j = 12 + 18 + 12j Combine like terms: 12 + 18 = 30 -15 + 3j = 30 + 12j Solving -15 + 3j = 30 + 12j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-12j' to each side of the equation. -15 + 3j + -12j = 30 + 12j + -12j Combine like terms: 3j + -12j = -9j -15 + -9j = 30 + 12j + -12j Combine like terms: 12j + -12j = 0 -15 + -9j = 30 + 0 -15 + -9j = 30 Add '15' to each side of the equation. -15 + 15 + -9j = 30 + 15 Combine like terms: -15 + 15 = 0 0 + -9j = 30 + 15 -9j = 30 + 15 Combine like terms: 30 + 15 = 45 -9j = 45 Divide each side by '-9'. j = -5 Simplifying j = -5
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