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Simplifying -7(8 + 8k) + -2(4 + 5k) = -64 (8 * -7 + 8k * -7) + -2(4 + 5k) = -64 (-56 + -56k) + -2(4 + 5k) = -64 -56 + -56k + (4 * -2 + 5k * -2) = -64 -56 + -56k + (-8 + -10k) = -64 Reorder the terms: -56 + -8 + -56k + -10k = -64 Combine like terms: -56 + -8 = -64 -64 + -56k + -10k = -64 Combine like terms: -56k + -10k = -66k -64 + -66k = -64 Add '64' to each side of the equation. -64 + 64 + -66k = -64 + 64 Combine like terms: -64 + 64 = 0 0 + -66k = -64 + 64 -66k = -64 + 64 Combine like terms: -64 + 64 = 0 -66k = 0 Solving -66k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Divide each side by '-66'. k = 0 Simplifying k = 0
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