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Simplifying -7(2k + 4) = -10 + 8(1 + -5k) Reorder the terms: -7(4 + 2k) = -10 + 8(1 + -5k) (4 * -7 + 2k * -7) = -10 + 8(1 + -5k) (-28 + -14k) = -10 + 8(1 + -5k) -28 + -14k = -10 + (1 * 8 + -5k * 8) -28 + -14k = -10 + (8 + -40k) Combine like terms: -10 + 8 = -2 -28 + -14k = -2 + -40k Solving -28 + -14k = -2 + -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. -28 + -14k + 40k = -2 + -40k + 40k Combine like terms: -14k + 40k = 26k -28 + 26k = -2 + -40k + 40k Combine like terms: -40k + 40k = 0 -28 + 26k = -2 + 0 -28 + 26k = -2 Add '28' to each side of the equation. -28 + 28 + 26k = -2 + 28 Combine like terms: -28 + 28 = 0 0 + 26k = -2 + 28 26k = -2 + 28 Combine like terms: -2 + 28 = 26 26k = 26 Divide each side by '26'. k = 1 Simplifying k = 1
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