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Simplifying 4(k + -2) + -7 = 5k + -1(4k * 2) Reorder the terms: 4(-2 + k) + -7 = 5k + -1(4k * 2) (-2 * 4 + k * 4) + -7 = 5k + -1(4k * 2) (-8 + 4k) + -7 = 5k + -1(4k * 2) Reorder the terms: -8 + -7 + 4k = 5k + -1(4k * 2) Combine like terms: -8 + -7 = -15 -15 + 4k = 5k + -1(4k * 2) Reorder the terms for easier multiplication: -15 + 4k = 5k + -1(4 * 2k) Multiply 4 * 2 -15 + 4k = 5k + -1(8k) Remove parenthesis around (8k) -15 + 4k = 5k + -1 * 8k Multiply -1 * 8 -15 + 4k = 5k + -8k Combine like terms: 5k + -8k = -3k -15 + 4k = -3k Solving -15 + 4k = -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -15 + 4k + 3k = -3k + 3k Combine like terms: 4k + 3k = 7k -15 + 7k = -3k + 3k Combine like terms: -3k + 3k = 0 -15 + 7k = 0 Add '15' to each side of the equation. -15 + 15 + 7k = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 7k = 0 + 15 7k = 0 + 15 Combine like terms: 0 + 15 = 15 7k = 15 Divide each side by '7'. k = 2.142857143 Simplifying k = 2.142857143
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