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Simplifying 7k + -37 = 71(2k + -3) + k Reorder the terms: -37 + 7k = 71(2k + -3) + k Reorder the terms: -37 + 7k = 71(-3 + 2k) + k -37 + 7k = (-3 * 71 + 2k * 71) + k -37 + 7k = (-213 + 142k) + k Combine like terms: 142k + k = 143k -37 + 7k = -213 + 143k Solving -37 + 7k = -213 + 143k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-143k' to each side of the equation. -37 + 7k + -143k = -213 + 143k + -143k Combine like terms: 7k + -143k = -136k -37 + -136k = -213 + 143k + -143k Combine like terms: 143k + -143k = 0 -37 + -136k = -213 + 0 -37 + -136k = -213 Add '37' to each side of the equation. -37 + 37 + -136k = -213 + 37 Combine like terms: -37 + 37 = 0 0 + -136k = -213 + 37 -136k = -213 + 37 Combine like terms: -213 + 37 = -176 -136k = -176 Divide each side by '-136'. k = 1.294117647 Simplifying k = 1.294117647
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