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Simplifying -40 + 8k = 7(4 + 6k) -40 + 8k = (4 * 7 + 6k * 7) -40 + 8k = (28 + 42k) Solving -40 + 8k = 28 + 42k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-42k' to each side of the equation. -40 + 8k + -42k = 28 + 42k + -42k Combine like terms: 8k + -42k = -34k -40 + -34k = 28 + 42k + -42k Combine like terms: 42k + -42k = 0 -40 + -34k = 28 + 0 -40 + -34k = 28 Add '40' to each side of the equation. -40 + 40 + -34k = 28 + 40 Combine like terms: -40 + 40 = 0 0 + -34k = 28 + 40 -34k = 28 + 40 Combine like terms: 28 + 40 = 68 -34k = 68 Divide each side by '-34'. k = -2 Simplifying k = -2
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