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Simplifying -47 + -4k = 5(2 + 3k) -47 + -4k = (2 * 5 + 3k * 5) -47 + -4k = (10 + 15k) Solving -47 + -4k = 10 + 15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15k' to each side of the equation. -47 + -4k + -15k = 10 + 15k + -15k Combine like terms: -4k + -15k = -19k -47 + -19k = 10 + 15k + -15k Combine like terms: 15k + -15k = 0 -47 + -19k = 10 + 0 -47 + -19k = 10 Add '47' to each side of the equation. -47 + 47 + -19k = 10 + 47 Combine like terms: -47 + 47 = 0 0 + -19k = 10 + 47 -19k = 10 + 47 Combine like terms: 10 + 47 = 57 -19k = 57 Divide each side by '-19'. k = -3 Simplifying k = -3
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