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Simplifying 6k + -30 = 4(k + -5) Reorder the terms: -30 + 6k = 4(k + -5) Reorder the terms: -30 + 6k = 4(-5 + k) -30 + 6k = (-5 * 4 + k * 4) -30 + 6k = (-20 + 4k) Solving -30 + 6k = -20 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -30 + 6k + -4k = -20 + 4k + -4k Combine like terms: 6k + -4k = 2k -30 + 2k = -20 + 4k + -4k Combine like terms: 4k + -4k = 0 -30 + 2k = -20 + 0 -30 + 2k = -20 Add '30' to each side of the equation. -30 + 30 + 2k = -20 + 30 Combine like terms: -30 + 30 = 0 0 + 2k = -20 + 30 2k = -20 + 30 Combine like terms: -20 + 30 = 10 2k = 10 Divide each side by '2'. k = 5 Simplifying k = 5
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