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Simplifying 8(2k + -5) = 9(2k + -6) Reorder the terms: 8(-5 + 2k) = 9(2k + -6) (-5 * 8 + 2k * 8) = 9(2k + -6) (-40 + 16k) = 9(2k + -6) Reorder the terms: -40 + 16k = 9(-6 + 2k) -40 + 16k = (-6 * 9 + 2k * 9) -40 + 16k = (-54 + 18k) Solving -40 + 16k = -54 + 18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18k' to each side of the equation. -40 + 16k + -18k = -54 + 18k + -18k Combine like terms: 16k + -18k = -2k -40 + -2k = -54 + 18k + -18k Combine like terms: 18k + -18k = 0 -40 + -2k = -54 + 0 -40 + -2k = -54 Add '40' to each side of the equation. -40 + 40 + -2k = -54 + 40 Combine like terms: -40 + 40 = 0 0 + -2k = -54 + 40 -2k = -54 + 40 Combine like terms: -54 + 40 = -14 -2k = -14 Divide each side by '-2'. k = 7 Simplifying k = 7
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