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Simplifying 5(j + -2) = 2j + 6 Reorder the terms: 5(-2 + j) = 2j + 6 (-2 * 5 + j * 5) = 2j + 6 (-10 + 5j) = 2j + 6 Reorder the terms: -10 + 5j = 6 + 2j Solving -10 + 5j = 6 + 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. -10 + 5j + -2j = 6 + 2j + -2j Combine like terms: 5j + -2j = 3j -10 + 3j = 6 + 2j + -2j Combine like terms: 2j + -2j = 0 -10 + 3j = 6 + 0 -10 + 3j = 6 Add '10' to each side of the equation. -10 + 10 + 3j = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 3j = 6 + 10 3j = 6 + 10 Combine like terms: 6 + 10 = 16 3j = 16 Divide each side by '3'. j = 5.333333333 Simplifying j = 5.333333333
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