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Simplifying 5k + -2(k + 1) = 3(k + 5) + -17 Reorder the terms: 5k + -2(1 + k) = 3(k + 5) + -17 5k + (1 * -2 + k * -2) = 3(k + 5) + -17 5k + (-2 + -2k) = 3(k + 5) + -17 Reorder the terms: -2 + 5k + -2k = 3(k + 5) + -17 Combine like terms: 5k + -2k = 3k -2 + 3k = 3(k + 5) + -17 Reorder the terms: -2 + 3k = 3(5 + k) + -17 -2 + 3k = (5 * 3 + k * 3) + -17 -2 + 3k = (15 + 3k) + -17 Reorder the terms: -2 + 3k = 15 + -17 + 3k Combine like terms: 15 + -17 = -2 -2 + 3k = -2 + 3k Add '2' to each side of the equation. -2 + 2 + 3k = -2 + 2 + 3k Combine like terms: -2 + 2 = 0 0 + 3k = -2 + 2 + 3k 3k = -2 + 2 + 3k Combine like terms: -2 + 2 = 0 3k = 0 + 3k 3k = 3k Add '-3k' to each side of the equation. 3k + -3k = 3k + -3k Combine like terms: 3k + -3k = 0 0 = 3k + -3k Combine like terms: 3k + -3k = 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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