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Simplifying 14(k + -45) = 9(k + -77) + 5k Reorder the terms: 14(-45 + k) = 9(k + -77) + 5k (-45 * 14 + k * 14) = 9(k + -77) + 5k (-630 + 14k) = 9(k + -77) + 5k Reorder the terms: -630 + 14k = 9(-77 + k) + 5k -630 + 14k = (-77 * 9 + k * 9) + 5k -630 + 14k = (-693 + 9k) + 5k Combine like terms: 9k + 5k = 14k -630 + 14k = -693 + 14k Add '-14k' to each side of the equation. -630 + 14k + -14k = -693 + 14k + -14k Combine like terms: 14k + -14k = 0 -630 + 0 = -693 + 14k + -14k -630 = -693 + 14k + -14k Combine like terms: 14k + -14k = 0 -630 = -693 + 0 -630 = -693 Solving -630 = -693 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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