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Simplifying -6k = -15k + -3(-19k + -16) Reorder the terms: -6k = -15k + -3(-16 + -19k) -6k = -15k + (-16 * -3 + -19k * -3) -6k = -15k + (48 + 57k) Reorder the terms: -6k = 48 + -15k + 57k Combine like terms: -15k + 57k = 42k -6k = 48 + 42k Solving -6k = 48 + 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. -6k + -42k = 48 + 42k + -42k Combine like terms: -6k + -42k = -48k -48k = 48 + 42k + -42k Combine like terms: 42k + -42k = 0 -48k = 48 + 0 -48k = 48 Divide each side by '-48'. k = -1 Simplifying k = -1
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