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Simplifying 8(j + -3) = 4h + 9j + -14 Reorder the terms: 8(-3 + j) = 4h + 9j + -14 (-3 * 8 + j * 8) = 4h + 9j + -14 (-24 + 8j) = 4h + 9j + -14 Reorder the terms: -24 + 8j = -14 + 4h + 9j Solving -24 + 8j = -14 + 4h + 9j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-9j' to each side of the equation. -24 + 8j + -9j = -14 + 4h + 9j + -9j Combine like terms: 8j + -9j = -1j -24 + -1j = -14 + 4h + 9j + -9j Combine like terms: 9j + -9j = 0 -24 + -1j = -14 + 4h + 0 -24 + -1j = -14 + 4h Add '24' to each side of the equation. -24 + 24 + -1j = -14 + 24 + 4h Combine like terms: -24 + 24 = 0 0 + -1j = -14 + 24 + 4h -1j = -14 + 24 + 4h Combine like terms: -14 + 24 = 10 -1j = 10 + 4h Divide each side by '-1'. j = -10 + -4h Simplifying j = -10 + -4h
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