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Simplifying 3j + -9 = 2(j + -5) Reorder the terms: -9 + 3j = 2(j + -5) Reorder the terms: -9 + 3j = 2(-5 + j) -9 + 3j = (-5 * 2 + j * 2) -9 + 3j = (-10 + 2j) Solving -9 + 3j = -10 + 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. -9 + 3j + -2j = -10 + 2j + -2j Combine like terms: 3j + -2j = 1j -9 + 1j = -10 + 2j + -2j Combine like terms: 2j + -2j = 0 -9 + 1j = -10 + 0 -9 + 1j = -10 Add '9' to each side of the equation. -9 + 9 + 1j = -10 + 9 Combine like terms: -9 + 9 = 0 0 + 1j = -10 + 9 1j = -10 + 9 Combine like terms: -10 + 9 = -1 1j = -1 Divide each side by '1'. j = -1 Simplifying j = -1
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