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Simplifying -8(k + 1) + -1k + -12 = -9(k + 3) + 7 Reorder the terms: -8(1 + k) + -1k + -12 = -9(k + 3) + 7 (1 * -8 + k * -8) + -1k + -12 = -9(k + 3) + 7 (-8 + -8k) + -1k + -12 = -9(k + 3) + 7 Reorder the terms: -8 + -12 + -8k + -1k = -9(k + 3) + 7 Combine like terms: -8 + -12 = -20 -20 + -8k + -1k = -9(k + 3) + 7 Combine like terms: -8k + -1k = -9k -20 + -9k = -9(k + 3) + 7 Reorder the terms: -20 + -9k = -9(3 + k) + 7 -20 + -9k = (3 * -9 + k * -9) + 7 -20 + -9k = (-27 + -9k) + 7 Reorder the terms: -20 + -9k = -27 + 7 + -9k Combine like terms: -27 + 7 = -20 -20 + -9k = -20 + -9k Add '20' to each side of the equation. -20 + 20 + -9k = -20 + 20 + -9k Combine like terms: -20 + 20 = 0 0 + -9k = -20 + 20 + -9k -9k = -20 + 20 + -9k Combine like terms: -20 + 20 = 0 -9k = 0 + -9k -9k = -9k Add '9k' to each side of the equation. -9k + 9k = -9k + 9k Combine like terms: -9k + 9k = 0 0 = -9k + 9k Combine like terms: -9k + 9k = 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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