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Simplifying 7 + -5(2k + 2) = 2k + 6 Reorder the terms: 7 + -5(2 + 2k) = 2k + 6 7 + (2 * -5 + 2k * -5) = 2k + 6 7 + (-10 + -10k) = 2k + 6 Combine like terms: 7 + -10 = -3 -3 + -10k = 2k + 6 Reorder the terms: -3 + -10k = 6 + 2k Solving -3 + -10k = 6 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -3 + -10k + -2k = 6 + 2k + -2k Combine like terms: -10k + -2k = -12k -3 + -12k = 6 + 2k + -2k Combine like terms: 2k + -2k = 0 -3 + -12k = 6 + 0 -3 + -12k = 6 Add '3' to each side of the equation. -3 + 3 + -12k = 6 + 3 Combine like terms: -3 + 3 = 0 0 + -12k = 6 + 3 -12k = 6 + 3 Combine like terms: 6 + 3 = 9 -12k = 9 Divide each side by '-12'. k = -0.75 Simplifying k = -0.75
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