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Simplifying -65 = 2k + 5(-5 + -5) Combine like terms: -5 + -5 = -10 -65 = 2k + 5(-10) Multiply 5 * -10 -65 = 2k + -50 Reorder the terms: -65 = -50 + 2k Solving -65 = -50 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -65 + -2k = -50 + 2k + -2k Combine like terms: 2k + -2k = 0 -65 + -2k = -50 + 0 -65 + -2k = -50 Add '65' to each side of the equation. -65 + 65 + -2k = -50 + 65 Combine like terms: -65 + 65 = 0 0 + -2k = -50 + 65 -2k = -50 + 65 Combine like terms: -50 + 65 = 15 -2k = 15 Divide each side by '-2'. k = -7.5 Simplifying k = -7.5
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