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Simplifying 7 + -42k + -49 = -10k + -48k + -120 Reorder the terms: 7 + -49 + -42k = -10k + -48k + -120 Combine like terms: 7 + -49 = -42 -42 + -42k = -10k + -48k + -120 Reorder the terms: -42 + -42k = -120 + -10k + -48k Combine like terms: -10k + -48k = -58k -42 + -42k = -120 + -58k Solving -42 + -42k = -120 + -58k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '58k' to each side of the equation. -42 + -42k + 58k = -120 + -58k + 58k Combine like terms: -42k + 58k = 16k -42 + 16k = -120 + -58k + 58k Combine like terms: -58k + 58k = 0 -42 + 16k = -120 + 0 -42 + 16k = -120 Add '42' to each side of the equation. -42 + 42 + 16k = -120 + 42 Combine like terms: -42 + 42 = 0 0 + 16k = -120 + 42 16k = -120 + 42 Combine like terms: -120 + 42 = -78 16k = -78 Divide each side by '16'. k = -4.875 Simplifying k = -4.875
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