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Simplifying -8(k + 6) = 5k + 2(k + -4) Reorder the terms: -8(6 + k) = 5k + 2(k + -4) (6 * -8 + k * -8) = 5k + 2(k + -4) (-48 + -8k) = 5k + 2(k + -4) Reorder the terms: -48 + -8k = 5k + 2(-4 + k) -48 + -8k = 5k + (-4 * 2 + k * 2) -48 + -8k = 5k + (-8 + 2k) Reorder the terms: -48 + -8k = -8 + 5k + 2k Combine like terms: 5k + 2k = 7k -48 + -8k = -8 + 7k Solving -48 + -8k = -8 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. -48 + -8k + -7k = -8 + 7k + -7k Combine like terms: -8k + -7k = -15k -48 + -15k = -8 + 7k + -7k Combine like terms: 7k + -7k = 0 -48 + -15k = -8 + 0 -48 + -15k = -8 Add '48' to each side of the equation. -48 + 48 + -15k = -8 + 48 Combine like terms: -48 + 48 = 0 0 + -15k = -8 + 48 -15k = -8 + 48 Combine like terms: -8 + 48 = 40 -15k = 40 Divide each side by '-15'. k = -2.666666667 Simplifying k = -2.666666667
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