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Simplifying (5k + 5) + -1(-3k + 11) = 0 Reorder the terms: (5 + 5k) + -1(-3k + 11) = 0 Remove parenthesis around (5 + 5k) 5 + 5k + -1(-3k + 11) = 0 Reorder the terms: 5 + 5k + -1(11 + -3k) = 0 5 + 5k + (11 * -1 + -3k * -1) = 0 5 + 5k + (-11 + 3k) = 0 Reorder the terms: 5 + -11 + 5k + 3k = 0 Combine like terms: 5 + -11 = -6 -6 + 5k + 3k = 0 Combine like terms: 5k + 3k = 8k -6 + 8k = 0 Solving -6 + 8k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 8k = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 8k = 0 + 6 8k = 0 + 6 Combine like terms: 0 + 6 = 6 8k = 6 Divide each side by '8'. k = 0.75 Simplifying k = 0.75
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