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Simplifying 3(j + -8) = 2(j + 9) Reorder the terms: 3(-8 + j) = 2(j + 9) (-8 * 3 + j * 3) = 2(j + 9) (-24 + 3j) = 2(j + 9) Reorder the terms: -24 + 3j = 2(9 + j) -24 + 3j = (9 * 2 + j * 2) -24 + 3j = (18 + 2j) Solving -24 + 3j = 18 + 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. -24 + 3j + -2j = 18 + 2j + -2j Combine like terms: 3j + -2j = 1j -24 + 1j = 18 + 2j + -2j Combine like terms: 2j + -2j = 0 -24 + 1j = 18 + 0 -24 + 1j = 18 Add '24' to each side of the equation. -24 + 24 + 1j = 18 + 24 Combine like terms: -24 + 24 = 0 0 + 1j = 18 + 24 1j = 18 + 24 Combine like terms: 18 + 24 = 42 1j = 42 Divide each side by '1'. j = 42 Simplifying j = 42
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