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Simplifying 35 = -7 + 4(k + -6) Reorder the terms: 35 = -7 + 4(-6 + k) 35 = -7 + (-6 * 4 + k * 4) 35 = -7 + (-24 + 4k) Combine like terms: -7 + -24 = -31 35 = -31 + 4k Solving 35 = -31 + 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. 35 + -4k = -31 + 4k + -4k Combine like terms: 4k + -4k = 0 35 + -4k = -31 + 0 35 + -4k = -31 Add '-35' to each side of the equation. 35 + -35 + -4k = -31 + -35 Combine like terms: 35 + -35 = 0 0 + -4k = -31 + -35 -4k = -31 + -35 Combine like terms: -31 + -35 = -66 -4k = -66 Divide each side by '-4'. k = 16.5 Simplifying k = 16.5
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