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Simplifying -1 + 8(9k + -13) = 5(8k + 11) Reorder the terms: -1 + 8(-13 + 9k) = 5(8k + 11) -1 + (-13 * 8 + 9k * 8) = 5(8k + 11) -1 + (-104 + 72k) = 5(8k + 11) Combine like terms: -1 + -104 = -105 -105 + 72k = 5(8k + 11) Reorder the terms: -105 + 72k = 5(11 + 8k) -105 + 72k = (11 * 5 + 8k * 5) -105 + 72k = (55 + 40k) Solving -105 + 72k = 55 + 40k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-40k' to each side of the equation. -105 + 72k + -40k = 55 + 40k + -40k Combine like terms: 72k + -40k = 32k -105 + 32k = 55 + 40k + -40k Combine like terms: 40k + -40k = 0 -105 + 32k = 55 + 0 -105 + 32k = 55 Add '105' to each side of the equation. -105 + 105 + 32k = 55 + 105 Combine like terms: -105 + 105 = 0 0 + 32k = 55 + 105 32k = 55 + 105 Combine like terms: 55 + 105 = 160 32k = 160 Divide each side by '32'. k = 5 Simplifying k = 5
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