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Simplifying 3(2x + 9) = 6x + j Reorder the terms: 3(9 + 2x) = 6x + j (9 * 3 + 2x * 3) = 6x + j (27 + 6x) = 6x + j Reorder the terms: 27 + 6x = j + 6x Add '-6x' to each side of the equation. 27 + 6x + -6x = j + 6x + -6x Combine like terms: 6x + -6x = 0 27 + 0 = j + 6x + -6x 27 = j + 6x + -6x Combine like terms: 6x + -6x = 0 27 = j + 0 27 = j Solving 27 = j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-1j' to each side of the equation. 27 + -1j = j + -1j Combine like terms: j + -1j = 0 27 + -1j = 0 Add '-27' to each side of the equation. 27 + -27 + -1j = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -1j = 0 + -27 -1j = 0 + -27 Combine like terms: 0 + -27 = -27 -1j = -27 Divide each side by '-1'. j = 27 Simplifying j = 27
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