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Simplifying 8(4q + -5) = 9(k + -5) + -14k Reorder the terms: 8(-5 + 4q) = 9(k + -5) + -14k (-5 * 8 + 4q * 8) = 9(k + -5) + -14k (-40 + 32q) = 9(k + -5) + -14k Reorder the terms: -40 + 32q = 9(-5 + k) + -14k -40 + 32q = (-5 * 9 + k * 9) + -14k -40 + 32q = (-45 + 9k) + -14k Combine like terms: 9k + -14k = -5k -40 + 32q = -45 + -5k Solving -40 + 32q = -45 + -5k Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 32q = -45 + 40 + -5k Combine like terms: -40 + 40 = 0 0 + 32q = -45 + 40 + -5k 32q = -45 + 40 + -5k Combine like terms: -45 + 40 = -5 32q = -5 + -5k Divide each side by '32'. q = -0.15625 + -0.15625k Simplifying q = -0.15625 + -0.15625k
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