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Simplifying 3 + 6(-2k + -6) = -5(1 + 8k) Reorder the terms: 3 + 6(-6 + -2k) = -5(1 + 8k) 3 + (-6 * 6 + -2k * 6) = -5(1 + 8k) 3 + (-36 + -12k) = -5(1 + 8k) Combine like terms: 3 + -36 = -33 -33 + -12k = -5(1 + 8k) -33 + -12k = (1 * -5 + 8k * -5) -33 + -12k = (-5 + -40k) Solving -33 + -12k = -5 + -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. -33 + -12k + 40k = -5 + -40k + 40k Combine like terms: -12k + 40k = 28k -33 + 28k = -5 + -40k + 40k Combine like terms: -40k + 40k = 0 -33 + 28k = -5 + 0 -33 + 28k = -5 Add '33' to each side of the equation. -33 + 33 + 28k = -5 + 33 Combine like terms: -33 + 33 = 0 0 + 28k = -5 + 33 28k = -5 + 33 Combine like terms: -5 + 33 = 28 28k = 28 Divide each side by '28'. k = 1 Simplifying k = 1
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