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Simplifying 8(4q + -5) + -7 = 209 Reorder the terms: 8(-5 + 4q) + -7 = 209 (-5 * 8 + 4q * 8) + -7 = 209 (-40 + 32q) + -7 = 209 Reorder the terms: -40 + -7 + 32q = 209 Combine like terms: -40 + -7 = -47 -47 + 32q = 209 Solving -47 + 32q = 209 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + 32q = 209 + 47 Combine like terms: -47 + 47 = 0 0 + 32q = 209 + 47 32q = 209 + 47 Combine like terms: 209 + 47 = 256 32q = 256 Divide each side by '32'. q = 8 Simplifying q = 8
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