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Simplifying k + -7(4k + 3) = 37 + 2k Reorder the terms: k + -7(3 + 4k) = 37 + 2k k + (3 * -7 + 4k * -7) = 37 + 2k k + (-21 + -28k) = 37 + 2k Reorder the terms: -21 + k + -28k = 37 + 2k Combine like terms: k + -28k = -27k -21 + -27k = 37 + 2k Solving -21 + -27k = 37 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -21 + -27k + -2k = 37 + 2k + -2k Combine like terms: -27k + -2k = -29k -21 + -29k = 37 + 2k + -2k Combine like terms: 2k + -2k = 0 -21 + -29k = 37 + 0 -21 + -29k = 37 Add '21' to each side of the equation. -21 + 21 + -29k = 37 + 21 Combine like terms: -21 + 21 = 0 0 + -29k = 37 + 21 -29k = 37 + 21 Combine like terms: 37 + 21 = 58 -29k = 58 Divide each side by '-29'. k = -2 Simplifying k = -2
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