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Simplifying 14k + -8 = 6(13k + -12) Reorder the terms: -8 + 14k = 6(13k + -12) Reorder the terms: -8 + 14k = 6(-12 + 13k) -8 + 14k = (-12 * 6 + 13k * 6) -8 + 14k = (-72 + 78k) Solving -8 + 14k = -72 + 78k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-78k' to each side of the equation. -8 + 14k + -78k = -72 + 78k + -78k Combine like terms: 14k + -78k = -64k -8 + -64k = -72 + 78k + -78k Combine like terms: 78k + -78k = 0 -8 + -64k = -72 + 0 -8 + -64k = -72 Add '8' to each side of the equation. -8 + 8 + -64k = -72 + 8 Combine like terms: -8 + 8 = 0 0 + -64k = -72 + 8 -64k = -72 + 8 Combine like terms: -72 + 8 = -64 -64k = -64 Divide each side by '-64'. k = 1 Simplifying k = 1
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