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Simplifying -6(k + 2) + -1k + -8 = -7(k + 5) + 15 Reorder the terms: -6(2 + k) + -1k + -8 = -7(k + 5) + 15 (2 * -6 + k * -6) + -1k + -8 = -7(k + 5) + 15 (-12 + -6k) + -1k + -8 = -7(k + 5) + 15 Reorder the terms: -12 + -8 + -6k + -1k = -7(k + 5) + 15 Combine like terms: -12 + -8 = -20 -20 + -6k + -1k = -7(k + 5) + 15 Combine like terms: -6k + -1k = -7k -20 + -7k = -7(k + 5) + 15 Reorder the terms: -20 + -7k = -7(5 + k) + 15 -20 + -7k = (5 * -7 + k * -7) + 15 -20 + -7k = (-35 + -7k) + 15 Reorder the terms: -20 + -7k = -35 + 15 + -7k Combine like terms: -35 + 15 = -20 -20 + -7k = -20 + -7k Add '20' to each side of the equation. -20 + 20 + -7k = -20 + 20 + -7k Combine like terms: -20 + 20 = 0 0 + -7k = -20 + 20 + -7k -7k = -20 + 20 + -7k Combine like terms: -20 + 20 = 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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