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Simplifying -2(j + 5) + 6 = 4(j + 2) Reorder the terms: -2(5 + j) + 6 = 4(j + 2) (5 * -2 + j * -2) + 6 = 4(j + 2) (-10 + -2j) + 6 = 4(j + 2) Reorder the terms: -10 + 6 + -2j = 4(j + 2) Combine like terms: -10 + 6 = -4 -4 + -2j = 4(j + 2) Reorder the terms: -4 + -2j = 4(2 + j) -4 + -2j = (2 * 4 + j * 4) -4 + -2j = (8 + 4j) Solving -4 + -2j = 8 + 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. -4 + -2j + -4j = 8 + 4j + -4j Combine like terms: -2j + -4j = -6j -4 + -6j = 8 + 4j + -4j Combine like terms: 4j + -4j = 0 -4 + -6j = 8 + 0 -4 + -6j = 8 Add '4' to each side of the equation. -4 + 4 + -6j = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -6j = 8 + 4 -6j = 8 + 4 Combine like terms: 8 + 4 = 12 -6j = 12 Divide each side by '-6'. j = -2 Simplifying j = -2
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