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Simplifying 4 = 3(j + -14) + -11 Reorder the terms: 4 = 3(-14 + j) + -11 4 = (-14 * 3 + j * 3) + -11 4 = (-42 + 3j) + -11 Reorder the terms: 4 = -42 + -11 + 3j Combine like terms: -42 + -11 = -53 4 = -53 + 3j Solving 4 = -53 + 3j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-3j' to each side of the equation. 4 + -3j = -53 + 3j + -3j Combine like terms: 3j + -3j = 0 4 + -3j = -53 + 0 4 + -3j = -53 Add '-4' to each side of the equation. 4 + -4 + -3j = -53 + -4 Combine like terms: 4 + -4 = 0 0 + -3j = -53 + -4 -3j = -53 + -4 Combine like terms: -53 + -4 = -57 -3j = -57 Divide each side by '-3'. j = 19 Simplifying j = 19
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