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Simplifying 8(j + -3) = 4j + 9j + -14 Reorder the terms: 8(-3 + j) = 4j + 9j + -14 (-3 * 8 + j * 8) = 4j + 9j + -14 (-24 + 8j) = 4j + 9j + -14 Reorder the terms: -24 + 8j = -14 + 4j + 9j Combine like terms: 4j + 9j = 13j -24 + 8j = -14 + 13j Solving -24 + 8j = -14 + 13j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-13j' to each side of the equation. -24 + 8j + -13j = -14 + 13j + -13j Combine like terms: 8j + -13j = -5j -24 + -5j = -14 + 13j + -13j Combine like terms: 13j + -13j = 0 -24 + -5j = -14 + 0 -24 + -5j = -14 Add '24' to each side of the equation. -24 + 24 + -5j = -14 + 24 Combine like terms: -24 + 24 = 0 0 + -5j = -14 + 24 -5j = -14 + 24 Combine like terms: -14 + 24 = 10 -5j = 10 Divide each side by '-5'. j = -2 Simplifying j = -2
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