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Simplifying -6(k + 1) + -1k + -12 = -7(k + 4) + 10 Reorder the terms: -6(1 + k) + -1k + -12 = -7(k + 4) + 10 (1 * -6 + k * -6) + -1k + -12 = -7(k + 4) + 10 (-6 + -6k) + -1k + -12 = -7(k + 4) + 10 Reorder the terms: -6 + -12 + -6k + -1k = -7(k + 4) + 10 Combine like terms: -6 + -12 = -18 -18 + -6k + -1k = -7(k + 4) + 10 Combine like terms: -6k + -1k = -7k -18 + -7k = -7(k + 4) + 10 Reorder the terms: -18 + -7k = -7(4 + k) + 10 -18 + -7k = (4 * -7 + k * -7) + 10 -18 + -7k = (-28 + -7k) + 10 Reorder the terms: -18 + -7k = -28 + 10 + -7k Combine like terms: -28 + 10 = -18 -18 + -7k = -18 + -7k Add '18' to each side of the equation. -18 + 18 + -7k = -18 + 18 + -7k Combine like terms: -18 + 18 = 0 0 + -7k = -18 + 18 + -7k -7k = -18 + 18 + -7k Combine like terms: -18 + 18 = 0 -7k = 0 + -7k -7k = -7k Add '7k' to each side of the equation. -7k + 7k = -7k + 7k Combine like terms: -7k + 7k = 0 0 = -7k + 7k Combine like terms: -7k + 7k = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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