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Simplifying -136 = 8(5k + 7) Reorder the terms: -136 = 8(7 + 5k) -136 = (7 * 8 + 5k * 8) -136 = (56 + 40k) Solving -136 = 56 + 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. -136 + -40k = 56 + 40k + -40k Combine like terms: 40k + -40k = 0 -136 + -40k = 56 + 0 -136 + -40k = 56 Add '136' to each side of the equation. -136 + 136 + -40k = 56 + 136 Combine like terms: -136 + 136 = 0 0 + -40k = 56 + 136 -40k = 56 + 136 Combine like terms: 56 + 136 = 192 -40k = 192 Divide each side by '-40'. k = -4.8 Simplifying k = -4.8
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