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Simplifying 6(j + -9) = -2j + 18 Reorder the terms: 6(-9 + j) = -2j + 18 (-9 * 6 + j * 6) = -2j + 18 (-54 + 6j) = -2j + 18 Reorder the terms: -54 + 6j = 18 + -2j Solving -54 + 6j = 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. -54 + 6j + 2j = 18 + -2j + 2j Combine like terms: 6j + 2j = 8j -54 + 8j = 18 + -2j + 2j Combine like terms: -2j + 2j = 0 -54 + 8j = 18 + 0 -54 + 8j = 18 Add '54' to each side of the equation. -54 + 54 + 8j = 18 + 54 Combine like terms: -54 + 54 = 0 0 + 8j = 18 + 54 8j = 18 + 54 Combine like terms: 18 + 54 = 72 8j = 72 Divide each side by '8'. j = 9 Simplifying j = 9
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