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Simplifying 35 + -4k = -9(8k + -5) Reorder the terms: 35 + -4k = -9(-5 + 8k) 35 + -4k = (-5 * -9 + 8k * -9) 35 + -4k = (45 + -72k) Solving 35 + -4k = 45 + -72k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '72k' to each side of the equation. 35 + -4k + 72k = 45 + -72k + 72k Combine like terms: -4k + 72k = 68k 35 + 68k = 45 + -72k + 72k Combine like terms: -72k + 72k = 0 35 + 68k = 45 + 0 35 + 68k = 45 Add '-35' to each side of the equation. 35 + -35 + 68k = 45 + -35 Combine like terms: 35 + -35 = 0 0 + 68k = 45 + -35 68k = 45 + -35 Combine like terms: 45 + -35 = 10 68k = 10 Divide each side by '68'. k = 0.1470588235 Simplifying k = 0.1470588235
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