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Simplifying -10k + -7(7 + -4k) = 3(8k + -6) + 11 -10k + (7 * -7 + -4k * -7) = 3(8k + -6) + 11 -10k + (-49 + 28k) = 3(8k + -6) + 11 Reorder the terms: -49 + -10k + 28k = 3(8k + -6) + 11 Combine like terms: -10k + 28k = 18k -49 + 18k = 3(8k + -6) + 11 Reorder the terms: -49 + 18k = 3(-6 + 8k) + 11 -49 + 18k = (-6 * 3 + 8k * 3) + 11 -49 + 18k = (-18 + 24k) + 11 Reorder the terms: -49 + 18k = -18 + 11 + 24k Combine like terms: -18 + 11 = -7 -49 + 18k = -7 + 24k Solving -49 + 18k = -7 + 24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-24k' to each side of the equation. -49 + 18k + -24k = -7 + 24k + -24k Combine like terms: 18k + -24k = -6k -49 + -6k = -7 + 24k + -24k Combine like terms: 24k + -24k = 0 -49 + -6k = -7 + 0 -49 + -6k = -7 Add '49' to each side of the equation. -49 + 49 + -6k = -7 + 49 Combine like terms: -49 + 49 = 0 0 + -6k = -7 + 49 -6k = -7 + 49 Combine like terms: -7 + 49 = 42 -6k = 42 Divide each side by '-6'. k = -7 Simplifying k = -7
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