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Simplifying -7(k + -1) + 2k = -4(-2k + 3) + -11 Reorder the terms: -7(-1 + k) + 2k = -4(-2k + 3) + -11 (-1 * -7 + k * -7) + 2k = -4(-2k + 3) + -11 (7 + -7k) + 2k = -4(-2k + 3) + -11 Combine like terms: -7k + 2k = -5k 7 + -5k = -4(-2k + 3) + -11 Reorder the terms: 7 + -5k = -4(3 + -2k) + -11 7 + -5k = (3 * -4 + -2k * -4) + -11 7 + -5k = (-12 + 8k) + -11 Reorder the terms: 7 + -5k = -12 + -11 + 8k Combine like terms: -12 + -11 = -23 7 + -5k = -23 + 8k Solving 7 + -5k = -23 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 7 + -5k + -8k = -23 + 8k + -8k Combine like terms: -5k + -8k = -13k 7 + -13k = -23 + 8k + -8k Combine like terms: 8k + -8k = 0 7 + -13k = -23 + 0 7 + -13k = -23 Add '-7' to each side of the equation. 7 + -7 + -13k = -23 + -7 Combine like terms: 7 + -7 = 0 0 + -13k = -23 + -7 -13k = -23 + -7 Combine like terms: -23 + -7 = -30 -13k = -30 Divide each side by '-13'. k = 2.307692308 Simplifying k = 2.307692308
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