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Simplifying -8(1k + 6) = -5k + 2(1k + -4) Reorder the terms: -8(6 + 1k) = -5k + 2(1k + -4) (6 * -8 + 1k * -8) = -5k + 2(1k + -4) (-48 + -8k) = -5k + 2(1k + -4) Reorder the terms: -48 + -8k = -5k + 2(-4 + 1k) -48 + -8k = -5k + (-4 * 2 + 1k * 2) -48 + -8k = -5k + (-8 + 2k) Reorder the terms: -48 + -8k = -8 + -5k + 2k Combine like terms: -5k + 2k = -3k -48 + -8k = -8 + -3k Solving -48 + -8k = -8 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -48 + -8k + 3k = -8 + -3k + 3k Combine like terms: -8k + 3k = -5k -48 + -5k = -8 + -3k + 3k Combine like terms: -3k + 3k = 0 -48 + -5k = -8 + 0 -48 + -5k = -8 Add '48' to each side of the equation. -48 + 48 + -5k = -8 + 48 Combine like terms: -48 + 48 = 0 0 + -5k = -8 + 48 -5k = -8 + 48 Combine like terms: -8 + 48 = 40 -5k = 40 Divide each side by '-5'. k = -8 Simplifying k = -8
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