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Simplifying -7(9k + 9) = 9(k + -5) + -14k Reorder the terms: -7(9 + 9k) = 9(k + -5) + -14k (9 * -7 + 9k * -7) = 9(k + -5) + -14k (-63 + -63k) = 9(k + -5) + -14k Reorder the terms: -63 + -63k = 9(-5 + k) + -14k -63 + -63k = (-5 * 9 + k * 9) + -14k -63 + -63k = (-45 + 9k) + -14k Combine like terms: 9k + -14k = -5k -63 + -63k = -45 + -5k Solving -63 + -63k = -45 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -63 + -63k + 5k = -45 + -5k + 5k Combine like terms: -63k + 5k = -58k -63 + -58k = -45 + -5k + 5k Combine like terms: -5k + 5k = 0 -63 + -58k = -45 + 0 -63 + -58k = -45 Add '63' to each side of the equation. -63 + 63 + -58k = -45 + 63 Combine like terms: -63 + 63 = 0 0 + -58k = -45 + 63 -58k = -45 + 63 Combine like terms: -45 + 63 = 18 -58k = 18 Divide each side by '-58'. k = -0.3103448276 Simplifying k = -0.3103448276
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