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Simplifying 5k + -10k + -2 = 1(10k + 5) Reorder the terms: -2 + 5k + -10k = 1(10k + 5) Combine like terms: 5k + -10k = -5k -2 + -5k = 1(10k + 5) Reorder the terms: -2 + -5k = 1(5 + 10k) -2 + -5k = (5 * 1 + 10k * 1) -2 + -5k = (5 + 10k) Solving -2 + -5k = 5 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. -2 + -5k + -10k = 5 + 10k + -10k Combine like terms: -5k + -10k = -15k -2 + -15k = 5 + 10k + -10k Combine like terms: 10k + -10k = 0 -2 + -15k = 5 + 0 -2 + -15k = 5 Add '2' to each side of the equation. -2 + 2 + -15k = 5 + 2 Combine like terms: -2 + 2 = 0 0 + -15k = 5 + 2 -15k = 5 + 2 Combine like terms: 5 + 2 = 7 -15k = 7 Divide each side by '-15'. k = -0.4666666667 Simplifying k = -0.4666666667
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