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Simplifying -40 + -8k = 8(k + -7) Reorder the terms: -40 + -8k = 8(-7 + k) -40 + -8k = (-7 * 8 + k * 8) -40 + -8k = (-56 + 8k) Solving -40 + -8k = -56 + 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. -40 + -8k + -8k = -56 + 8k + -8k Combine like terms: -8k + -8k = -16k -40 + -16k = -56 + 8k + -8k Combine like terms: 8k + -8k = 0 -40 + -16k = -56 + 0 -40 + -16k = -56 Add '40' to each side of the equation. -40 + 40 + -16k = -56 + 40 Combine like terms: -40 + 40 = 0 0 + -16k = -56 + 40 -16k = -56 + 40 Combine like terms: -56 + 40 = -16 -16k = -16 Divide each side by '-16'. k = 1 Simplifying k = 1
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