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Simplifying 30 + -5k = -8(6 + -1k) 30 + -5k = (6 * -8 + -1k * -8) 30 + -5k = (-48 + 8k) Solving 30 + -5k = -48 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 30 + -5k + -8k = -48 + 8k + -8k Combine like terms: -5k + -8k = -13k 30 + -13k = -48 + 8k + -8k Combine like terms: 8k + -8k = 0 30 + -13k = -48 + 0 30 + -13k = -48 Add '-30' to each side of the equation. 30 + -30 + -13k = -48 + -30 Combine like terms: 30 + -30 = 0 0 + -13k = -48 + -30 -13k = -48 + -30 Combine like terms: -48 + -30 = -78 -13k = -78 Divide each side by '-13'. k = 6 Simplifying k = 6
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