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Simplifying 5(j + 3) = 2(j + -6) Reorder the terms: 5(3 + j) = 2(j + -6) (3 * 5 + j * 5) = 2(j + -6) (15 + 5j) = 2(j + -6) Reorder the terms: 15 + 5j = 2(-6 + j) 15 + 5j = (-6 * 2 + j * 2) 15 + 5j = (-12 + 2j) Solving 15 + 5j = -12 + 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. 15 + 5j + -2j = -12 + 2j + -2j Combine like terms: 5j + -2j = 3j 15 + 3j = -12 + 2j + -2j Combine like terms: 2j + -2j = 0 15 + 3j = -12 + 0 15 + 3j = -12 Add '-15' to each side of the equation. 15 + -15 + 3j = -12 + -15 Combine like terms: 15 + -15 = 0 0 + 3j = -12 + -15 3j = -12 + -15 Combine like terms: -12 + -15 = -27 3j = -27 Divide each side by '3'. j = -9 Simplifying j = -9
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