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Simplifying 4j + -36 = 2(j + 11) Reorder the terms: -36 + 4j = 2(j + 11) Reorder the terms: -36 + 4j = 2(11 + j) -36 + 4j = (11 * 2 + j * 2) -36 + 4j = (22 + 2j) Solving -36 + 4j = 22 + 2j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-2j' to each side of the equation. -36 + 4j + -2j = 22 + 2j + -2j Combine like terms: 4j + -2j = 2j -36 + 2j = 22 + 2j + -2j Combine like terms: 2j + -2j = 0 -36 + 2j = 22 + 0 -36 + 2j = 22 Add '36' to each side of the equation. -36 + 36 + 2j = 22 + 36 Combine like terms: -36 + 36 = 0 0 + 2j = 22 + 36 2j = 22 + 36 Combine like terms: 22 + 36 = 58 2j = 58 Divide each side by '2'. j = 29 Simplifying j = 29
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