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Simplifying -47k + -7 = 7(7k + 3) Reorder the terms: -7 + -47k = 7(7k + 3) Reorder the terms: -7 + -47k = 7(3 + 7k) -7 + -47k = (3 * 7 + 7k * 7) -7 + -47k = (21 + 49k) Solving -7 + -47k = 21 + 49k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-49k' to each side of the equation. -7 + -47k + -49k = 21 + 49k + -49k Combine like terms: -47k + -49k = -96k -7 + -96k = 21 + 49k + -49k Combine like terms: 49k + -49k = 0 -7 + -96k = 21 + 0 -7 + -96k = 21 Add '7' to each side of the equation. -7 + 7 + -96k = 21 + 7 Combine like terms: -7 + 7 = 0 0 + -96k = 21 + 7 -96k = 21 + 7 Combine like terms: 21 + 7 = 28 -96k = 28 Divide each side by '-96'. k = -0.2916666667 Simplifying k = -0.2916666667
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