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Simplifying 7 + 7 + -1y + -1k + -1h + -1g + -1f = k Reorder the terms: 7 + 7 + -1f + -1g + -1h + -1k + -1y = k Combine like terms: 7 + 7 = 14 14 + -1f + -1g + -1h + -1k + -1y = k Solving 14 + -1f + -1g + -1h + -1k + -1y = k Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -1f + -1g + -1h + -1k + -14 + -1y = -14 + k Reorder the terms: 14 + -14 + -1f + -1g + -1h + -1k + -1y = -14 + k Combine like terms: 14 + -14 = 0 0 + -1f + -1g + -1h + -1k + -1y = -14 + k -1f + -1g + -1h + -1k + -1y = -14 + k Add 'g' to each side of the equation. -1f + -1g + -1h + -1k + g + -1y = -14 + g + k Reorder the terms: -1f + -1g + g + -1h + -1k + -1y = -14 + g + k Combine like terms: -1g + g = 0 -1f + 0 + -1h + -1k + -1y = -14 + g + k -1f + -1h + -1k + -1y = -14 + g + k Add 'h' to each side of the equation. -1f + -1h + -1k + h + -1y = -14 + g + h + k Reorder the terms: -1f + -1h + h + -1k + -1y = -14 + g + h + k Combine like terms: -1h + h = 0 -1f + 0 + -1k + -1y = -14 + g + h + k -1f + -1k + -1y = -14 + g + h + k Add 'k' to each side of the equation. -1f + -1k + k + -1y = -14 + g + h + k + k Combine like terms: -1k + k = 0 -1f + 0 + -1y = -14 + g + h + k + k -1f + -1y = -14 + g + h + k + k Combine like terms: k + k = 2k -1f + -1y = -14 + g + h + 2k Add 'y' to each side of the equation. -1f + -1y + y = -14 + g + h + 2k + y Combine like terms: -1y + y = 0 -1f + 0 = -14 + g + h + 2k + y -1f = -14 + g + h + 2k + y Divide each side by '-1'. f = 14 + -1g + -1h + -2k + -1y Simplifying f = 14 + -1g + -1h + -2k + -1y
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