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Simplifying 5k + 12 = -7(5 + 6k) Reorder the terms: 12 + 5k = -7(5 + 6k) 12 + 5k = (5 * -7 + 6k * -7) 12 + 5k = (-35 + -42k) Solving 12 + 5k = -35 + -42k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '42k' to each side of the equation. 12 + 5k + 42k = -35 + -42k + 42k Combine like terms: 5k + 42k = 47k 12 + 47k = -35 + -42k + 42k Combine like terms: -42k + 42k = 0 12 + 47k = -35 + 0 12 + 47k = -35 Add '-12' to each side of the equation. 12 + -12 + 47k = -35 + -12 Combine like terms: 12 + -12 = 0 0 + 47k = -35 + -12 47k = -35 + -12 Combine like terms: -35 + -12 = -47 47k = -47 Divide each side by '47'. k = -1 Simplifying k = -1
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