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Simplifying 8(q + -5) = -3(10 + 3q) Reorder the terms: 8(-5 + q) = -3(10 + 3q) (-5 * 8 + q * 8) = -3(10 + 3q) (-40 + 8q) = -3(10 + 3q) -40 + 8q = (10 * -3 + 3q * -3) -40 + 8q = (-30 + -9q) Solving -40 + 8q = -30 + -9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '9q' to each side of the equation. -40 + 8q + 9q = -30 + -9q + 9q Combine like terms: 8q + 9q = 17q -40 + 17q = -30 + -9q + 9q Combine like terms: -9q + 9q = 0 -40 + 17q = -30 + 0 -40 + 17q = -30 Add '40' to each side of the equation. -40 + 40 + 17q = -30 + 40 Combine like terms: -40 + 40 = 0 0 + 17q = -30 + 40 17q = -30 + 40 Combine like terms: -30 + 40 = 10 17q = 10 Divide each side by '17'. q = 0.5882352941 Simplifying q = 0.5882352941
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