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Simplifying j + j + -12 = 2(j + -12) + 2(j + -12) + -4 Reorder the terms: -12 + j + j = 2(j + -12) + 2(j + -12) + -4 Combine like terms: j + j = 2j -12 + 2j = 2(j + -12) + 2(j + -12) + -4 Reorder the terms: -12 + 2j = 2(-12 + j) + 2(j + -12) + -4 -12 + 2j = (-12 * 2 + j * 2) + 2(j + -12) + -4 -12 + 2j = (-24 + 2j) + 2(j + -12) + -4 Reorder the terms: -12 + 2j = -24 + 2j + 2(-12 + j) + -4 -12 + 2j = -24 + 2j + (-12 * 2 + j * 2) + -4 -12 + 2j = -24 + 2j + (-24 + 2j) + -4 Reorder the terms: -12 + 2j = -24 + -24 + -4 + 2j + 2j Combine like terms: -24 + -24 = -48 -12 + 2j = -48 + -4 + 2j + 2j Combine like terms: -48 + -4 = -52 -12 + 2j = -52 + 2j + 2j Combine like terms: 2j + 2j = 4j -12 + 2j = -52 + 4j Solving -12 + 2j = -52 + 4j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-4j' to each side of the equation. -12 + 2j + -4j = -52 + 4j + -4j Combine like terms: 2j + -4j = -2j -12 + -2j = -52 + 4j + -4j Combine like terms: 4j + -4j = 0 -12 + -2j = -52 + 0 -12 + -2j = -52 Add '12' to each side of the equation. -12 + 12 + -2j = -52 + 12 Combine like terms: -12 + 12 = 0 0 + -2j = -52 + 12 -2j = -52 + 12 Combine like terms: -52 + 12 = -40 -2j = -40 Divide each side by '-2'. j = 20 Simplifying j = 20
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