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Simplifying -125 + -66k = -42k + -45 + -48 Reorder the terms: -125 + -66k = -45 + -48 + -42k Combine like terms: -45 + -48 = -93 -125 + -66k = -93 + -42k Solving -125 + -66k = -93 + -42k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '42k' to each side of the equation. -125 + -66k + 42k = -93 + -42k + 42k Combine like terms: -66k + 42k = -24k -125 + -24k = -93 + -42k + 42k Combine like terms: -42k + 42k = 0 -125 + -24k = -93 + 0 -125 + -24k = -93 Add '125' to each side of the equation. -125 + 125 + -24k = -93 + 125 Combine like terms: -125 + 125 = 0 0 + -24k = -93 + 125 -24k = -93 + 125 Combine like terms: -93 + 125 = 32 -24k = 32 Divide each side by '-24'. k = -1.333333333 Simplifying k = -1.333333333
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