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Simplifying 6(k + -8) = 3(k + -7) Reorder the terms: 6(-8 + k) = 3(k + -7) (-8 * 6 + k * 6) = 3(k + -7) (-48 + 6k) = 3(k + -7) Reorder the terms: -48 + 6k = 3(-7 + k) -48 + 6k = (-7 * 3 + k * 3) -48 + 6k = (-21 + 3k) Solving -48 + 6k = -21 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -48 + 6k + -3k = -21 + 3k + -3k Combine like terms: 6k + -3k = 3k -48 + 3k = -21 + 3k + -3k Combine like terms: 3k + -3k = 0 -48 + 3k = -21 + 0 -48 + 3k = -21 Add '48' to each side of the equation. -48 + 48 + 3k = -21 + 48 Combine like terms: -48 + 48 = 0 0 + 3k = -21 + 48 3k = -21 + 48 Combine like terms: -21 + 48 = 27 3k = 27 Divide each side by '3'. k = 9 Simplifying k = 9
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