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Simplifying -48 = -8(8 + 5k) + -7(-5 + -3k) -48 = (8 * -8 + 5k * -8) + -7(-5 + -3k) -48 = (-64 + -40k) + -7(-5 + -3k) -48 = -64 + -40k + (-5 * -7 + -3k * -7) -48 = -64 + -40k + (35 + 21k) Reorder the terms: -48 = -64 + 35 + -40k + 21k Combine like terms: -64 + 35 = -29 -48 = -29 + -40k + 21k Combine like terms: -40k + 21k = -19k -48 = -29 + -19k Solving -48 = -29 + -19k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '19k' to each side of the equation. -48 + 19k = -29 + -19k + 19k Combine like terms: -19k + 19k = 0 -48 + 19k = -29 + 0 -48 + 19k = -29 Add '48' to each side of the equation. -48 + 48 + 19k = -29 + 48 Combine like terms: -48 + 48 = 0 0 + 19k = -29 + 48 19k = -29 + 48 Combine like terms: -29 + 48 = 19 19k = 19 Divide each side by '19'. k = 1 Simplifying k = 1
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