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Simplifying -59 = -7(4k + 5) + -3(4 + -8k) Reorder the terms: -59 = -7(5 + 4k) + -3(4 + -8k) -59 = (5 * -7 + 4k * -7) + -3(4 + -8k) -59 = (-35 + -28k) + -3(4 + -8k) -59 = -35 + -28k + (4 * -3 + -8k * -3) -59 = -35 + -28k + (-12 + 24k) Reorder the terms: -59 = -35 + -12 + -28k + 24k Combine like terms: -35 + -12 = -47 -59 = -47 + -28k + 24k Combine like terms: -28k + 24k = -4k -59 = -47 + -4k Solving -59 = -47 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. -59 + 4k = -47 + -4k + 4k Combine like terms: -4k + 4k = 0 -59 + 4k = -47 + 0 -59 + 4k = -47 Add '59' to each side of the equation. -59 + 59 + 4k = -47 + 59 Combine like terms: -59 + 59 = 0 0 + 4k = -47 + 59 4k = -47 + 59 Combine like terms: -47 + 59 = 12 4k = 12 Divide each side by '4'. k = 3 Simplifying k = 3
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