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Simplifying 7(-5 + -5k) + -3 = -38 + -3k (-5 * 7 + -5k * 7) + -3 = -38 + -3k (-35 + -35k) + -3 = -38 + -3k Reorder the terms: -35 + -3 + -35k = -38 + -3k Combine like terms: -35 + -3 = -38 -38 + -35k = -38 + -3k Add '38' to each side of the equation. -38 + 38 + -35k = -38 + 38 + -3k Combine like terms: -38 + 38 = 0 0 + -35k = -38 + 38 + -3k -35k = -38 + 38 + -3k Combine like terms: -38 + 38 = 0 -35k = 0 + -3k -35k = -3k Solving -35k = -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -35k + 3k = -3k + 3k Combine like terms: -35k + 3k = -32k -32k = -3k + 3k Combine like terms: -3k + 3k = 0 -32k = 0 Divide each side by '-32'. k = 0 Simplifying k = 0
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