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Simplifying -3 + 2(4k + -13) = -40k + 7 Reorder the terms: -3 + 2(-13 + 4k) = -40k + 7 -3 + (-13 * 2 + 4k * 2) = -40k + 7 -3 + (-26 + 8k) = -40k + 7 Combine like terms: -3 + -26 = -29 -29 + 8k = -40k + 7 Reorder the terms: -29 + 8k = 7 + -40k Solving -29 + 8k = 7 + -40k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '40k' to each side of the equation. -29 + 8k + 40k = 7 + -40k + 40k Combine like terms: 8k + 40k = 48k -29 + 48k = 7 + -40k + 40k Combine like terms: -40k + 40k = 0 -29 + 48k = 7 + 0 -29 + 48k = 7 Add '29' to each side of the equation. -29 + 29 + 48k = 7 + 29 Combine like terms: -29 + 29 = 0 0 + 48k = 7 + 29 48k = 7 + 29 Combine like terms: 7 + 29 = 36 48k = 36 Divide each side by '48'. k = 0.75 Simplifying k = 0.75
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