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Simplifying -490 = -8(-8k + -3) + -3 Reorder the terms: -490 = -8(-3 + -8k) + -3 -490 = (-3 * -8 + -8k * -8) + -3 -490 = (24 + 64k) + -3 Reorder the terms: -490 = 24 + -3 + 64k Combine like terms: 24 + -3 = 21 -490 = 21 + 64k Solving -490 = 21 + 64k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-64k' to each side of the equation. -490 + -64k = 21 + 64k + -64k Combine like terms: 64k + -64k = 0 -490 + -64k = 21 + 0 -490 + -64k = 21 Add '490' to each side of the equation. -490 + 490 + -64k = 21 + 490 Combine like terms: -490 + 490 = 0 0 + -64k = 21 + 490 -64k = 21 + 490 Combine like terms: 21 + 490 = 511 -64k = 511 Divide each side by '-64'. k = -7.984375 Simplifying k = -7.984375
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