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Simplifying -66 = -3(2k + -3) + -7(k + 7) Reorder the terms: -66 = -3(-3 + 2k) + -7(k + 7) -66 = (-3 * -3 + 2k * -3) + -7(k + 7) -66 = (9 + -6k) + -7(k + 7) Reorder the terms: -66 = 9 + -6k + -7(7 + k) -66 = 9 + -6k + (7 * -7 + k * -7) -66 = 9 + -6k + (-49 + -7k) Reorder the terms: -66 = 9 + -49 + -6k + -7k Combine like terms: 9 + -49 = -40 -66 = -40 + -6k + -7k Combine like terms: -6k + -7k = -13k -66 = -40 + -13k Solving -66 = -40 + -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. -66 + 13k = -40 + -13k + 13k Combine like terms: -13k + 13k = 0 -66 + 13k = -40 + 0 -66 + 13k = -40 Add '66' to each side of the equation. -66 + 66 + 13k = -40 + 66 Combine like terms: -66 + 66 = 0 0 + 13k = -40 + 66 13k = -40 + 66 Combine like terms: -40 + 66 = 26 13k = 26 Divide each side by '13'. k = 2 Simplifying k = 2
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