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Simplifying 8(2k + -6) = 5(3k + -7) Reorder the terms: 8(-6 + 2k) = 5(3k + -7) (-6 * 8 + 2k * 8) = 5(3k + -7) (-48 + 16k) = 5(3k + -7) Reorder the terms: -48 + 16k = 5(-7 + 3k) -48 + 16k = (-7 * 5 + 3k * 5) -48 + 16k = (-35 + 15k) Solving -48 + 16k = -35 + 15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15k' to each side of the equation. -48 + 16k + -15k = -35 + 15k + -15k Combine like terms: 16k + -15k = 1k -48 + 1k = -35 + 15k + -15k Combine like terms: 15k + -15k = 0 -48 + 1k = -35 + 0 -48 + 1k = -35 Add '48' to each side of the equation. -48 + 48 + 1k = -35 + 48 Combine like terms: -48 + 48 = 0 0 + 1k = -35 + 48 1k = -35 + 48 Combine like terms: -35 + 48 = 13 1k = 13 Divide each side by '1'. k = 13 Simplifying k = 13
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