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Simplifying 5(k + 11) + 2(k + 3) + -7 = 2(k + -4) Reorder the terms: 5(11 + k) + 2(k + 3) + -7 = 2(k + -4) (11 * 5 + k * 5) + 2(k + 3) + -7 = 2(k + -4) (55 + 5k) + 2(k + 3) + -7 = 2(k + -4) Reorder the terms: 55 + 5k + 2(3 + k) + -7 = 2(k + -4) 55 + 5k + (3 * 2 + k * 2) + -7 = 2(k + -4) 55 + 5k + (6 + 2k) + -7 = 2(k + -4) Reorder the terms: 55 + 6 + -7 + 5k + 2k = 2(k + -4) Combine like terms: 55 + 6 = 61 61 + -7 + 5k + 2k = 2(k + -4) Combine like terms: 61 + -7 = 54 54 + 5k + 2k = 2(k + -4) Combine like terms: 5k + 2k = 7k 54 + 7k = 2(k + -4) Reorder the terms: 54 + 7k = 2(-4 + k) 54 + 7k = (-4 * 2 + k * 2) 54 + 7k = (-8 + 2k) Solving 54 + 7k = -8 + 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. 54 + 7k + -2k = -8 + 2k + -2k Combine like terms: 7k + -2k = 5k 54 + 5k = -8 + 2k + -2k Combine like terms: 2k + -2k = 0 54 + 5k = -8 + 0 54 + 5k = -8 Add '-54' to each side of the equation. 54 + -54 + 5k = -8 + -54 Combine like terms: 54 + -54 = 0 0 + 5k = -8 + -54 5k = -8 + -54 Combine like terms: -8 + -54 = -62 5k = -62 Divide each side by '5'. k = -12.4 Simplifying k = -12.4
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