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Simplifying 3(j + -3) = 4(j + -3) Reorder the terms: 3(-3 + j) = 4(j + -3) (-3 * 3 + j * 3) = 4(j + -3) (-9 + 3j) = 4(j + -3) Reorder the terms: -9 + 3j = 4(-3 + j) -9 + 3j = (-3 * 4 + j * 4) -9 + 3j = (-12 + 4j) Solving -9 + 3j = -12 + 4j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-4j' to each side of the equation. -9 + 3j + -4j = -12 + 4j + -4j Combine like terms: 3j + -4j = -1j -9 + -1j = -12 + 4j + -4j Combine like terms: 4j + -4j = 0 -9 + -1j = -12 + 0 -9 + -1j = -12 Add '9' to each side of the equation. -9 + 9 + -1j = -12 + 9 Combine like terms: -9 + 9 = 0 0 + -1j = -12 + 9 -1j = -12 + 9 Combine like terms: -12 + 9 = -3 -1j = -3 Divide each side by '-1'. j = 3 Simplifying j = 3
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