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Simplifying 8(k + -4) + -1(6k + -9) = 13k Reorder the terms: 8(-4 + k) + -1(6k + -9) = 13k (-4 * 8 + k * 8) + -1(6k + -9) = 13k (-32 + 8k) + -1(6k + -9) = 13k Reorder the terms: -32 + 8k + -1(-9 + 6k) = 13k -32 + 8k + (-9 * -1 + 6k * -1) = 13k -32 + 8k + (9 + -6k) = 13k Reorder the terms: -32 + 9 + 8k + -6k = 13k Combine like terms: -32 + 9 = -23 -23 + 8k + -6k = 13k Combine like terms: 8k + -6k = 2k -23 + 2k = 13k Solving -23 + 2k = 13k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-13k' to each side of the equation. -23 + 2k + -13k = 13k + -13k Combine like terms: 2k + -13k = -11k -23 + -11k = 13k + -13k Combine like terms: 13k + -13k = 0 -23 + -11k = 0 Add '23' to each side of the equation. -23 + 23 + -11k = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -11k = 0 + 23 -11k = 0 + 23 Combine like terms: 0 + 23 = 23 -11k = 23 Divide each side by '-11'. k = -2.090909091 Simplifying k = -2.090909091
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