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Simplifying 8(j + -4) = 3(4j + -16) Reorder the terms: 8(-4 + j) = 3(4j + -16) (-4 * 8 + j * 8) = 3(4j + -16) (-32 + 8j) = 3(4j + -16) Reorder the terms: -32 + 8j = 3(-16 + 4j) -32 + 8j = (-16 * 3 + 4j * 3) -32 + 8j = (-48 + 12j) Solving -32 + 8j = -48 + 12j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-12j' to each side of the equation. -32 + 8j + -12j = -48 + 12j + -12j Combine like terms: 8j + -12j = -4j -32 + -4j = -48 + 12j + -12j Combine like terms: 12j + -12j = 0 -32 + -4j = -48 + 0 -32 + -4j = -48 Add '32' to each side of the equation. -32 + 32 + -4j = -48 + 32 Combine like terms: -32 + 32 = 0 0 + -4j = -48 + 32 -4j = -48 + 32 Combine like terms: -48 + 32 = -16 -4j = -16 Divide each side by '-4'. j = 4 Simplifying j = 4
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