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Simplifying 8(4q + -5) + -7 = 20q + -10 Reorder the terms: 8(-5 + 4q) + -7 = 20q + -10 (-5 * 8 + 4q * 8) + -7 = 20q + -10 (-40 + 32q) + -7 = 20q + -10 Reorder the terms: -40 + -7 + 32q = 20q + -10 Combine like terms: -40 + -7 = -47 -47 + 32q = 20q + -10 Reorder the terms: -47 + 32q = -10 + 20q Solving -47 + 32q = -10 + 20q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-20q' to each side of the equation. -47 + 32q + -20q = -10 + 20q + -20q Combine like terms: 32q + -20q = 12q -47 + 12q = -10 + 20q + -20q Combine like terms: 20q + -20q = 0 -47 + 12q = -10 + 0 -47 + 12q = -10 Add '47' to each side of the equation. -47 + 47 + 12q = -10 + 47 Combine like terms: -47 + 47 = 0 0 + 12q = -10 + 47 12q = -10 + 47 Combine like terms: -10 + 47 = 37 12q = 37 Divide each side by '12'. q = 3.083333333 Simplifying q = 3.083333333
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