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Simplifying (7c + 12h + -9k) + -1(8c + -23k + 25h) = 0 Remove parenthesis around (7c + 12h + -9k) 7c + 12h + -9k + -1(8c + -23k + 25h) = 0 Reorder the terms: 7c + 12h + -9k + -1(8c + 25h + -23k) = 0 7c + 12h + -9k + (8c * -1 + 25h * -1 + -23k * -1) = 0 7c + 12h + -9k + (-8c + -25h + 23k) = 0 Reorder the terms: 7c + -8c + 12h + -25h + -9k + 23k = 0 Combine like terms: 7c + -8c = -1c -1c + 12h + -25h + -9k + 23k = 0 Combine like terms: 12h + -25h = -13h -1c + -13h + -9k + 23k = 0 Combine like terms: -9k + 23k = 14k -1c + -13h + 14k = 0 Solving -1c + -13h + 14k = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '13h' to each side of the equation. -1c + -13h + 13h + 14k = 0 + 13h Combine like terms: -13h + 13h = 0 -1c + 0 + 14k = 0 + 13h -1c + 14k = 0 + 13h Remove the zero: -1c + 14k = 13h Add '-14k' to each side of the equation. -1c + 14k + -14k = 13h + -14k Combine like terms: 14k + -14k = 0 -1c + 0 = 13h + -14k -1c = 13h + -14k Divide each side by '-1'. c = -13h + 14k Simplifying c = -13h + 14k
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