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Simplifying 2(j + -5) = 4j + 10 + 2 Reorder the terms: 2(-5 + j) = 4j + 10 + 2 (-5 * 2 + j * 2) = 4j + 10 + 2 (-10 + 2j) = 4j + 10 + 2 Reorder the terms: -10 + 2j = 10 + 2 + 4j Combine like terms: 10 + 2 = 12 -10 + 2j = 12 + 4j Solving -10 + 2j = 12 + 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. -10 + 2j + -4j = 12 + 4j + -4j Combine like terms: 2j + -4j = -2j -10 + -2j = 12 + 4j + -4j Combine like terms: 4j + -4j = 0 -10 + -2j = 12 + 0 -10 + -2j = 12 Add '10' to each side of the equation. -10 + 10 + -2j = 12 + 10 Combine like terms: -10 + 10 = 0 0 + -2j = 12 + 10 -2j = 12 + 10 Combine like terms: 12 + 10 = 22 -2j = 22 Divide each side by '-2'. j = -11 Simplifying j = -11
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