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Simplifying 5k + -37 = 11(k + 1) Reorder the terms: -37 + 5k = 11(k + 1) Reorder the terms: -37 + 5k = 11(1 + k) -37 + 5k = (1 * 11 + k * 11) -37 + 5k = (11 + 11k) Solving -37 + 5k = 11 + 11k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-11k' to each side of the equation. -37 + 5k + -11k = 11 + 11k + -11k Combine like terms: 5k + -11k = -6k -37 + -6k = 11 + 11k + -11k Combine like terms: 11k + -11k = 0 -37 + -6k = 11 + 0 -37 + -6k = 11 Add '37' to each side of the equation. -37 + 37 + -6k = 11 + 37 Combine like terms: -37 + 37 = 0 0 + -6k = 11 + 37 -6k = 11 + 37 Combine like terms: 11 + 37 = 48 -6k = 48 Divide each side by '-6'. k = -8 Simplifying k = -8
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