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Simplifying 8(q + -5) = 2(3q + -10) Reorder the terms: 8(-5 + q) = 2(3q + -10) (-5 * 8 + q * 8) = 2(3q + -10) (-40 + 8q) = 2(3q + -10) Reorder the terms: -40 + 8q = 2(-10 + 3q) -40 + 8q = (-10 * 2 + 3q * 2) -40 + 8q = (-20 + 6q) Solving -40 + 8q = -20 + 6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6q' to each side of the equation. -40 + 8q + -6q = -20 + 6q + -6q Combine like terms: 8q + -6q = 2q -40 + 2q = -20 + 6q + -6q Combine like terms: 6q + -6q = 0 -40 + 2q = -20 + 0 -40 + 2q = -20 Add '40' to each side of the equation. -40 + 40 + 2q = -20 + 40 Combine like terms: -40 + 40 = 0 0 + 2q = -20 + 40 2q = -20 + 40 Combine like terms: -20 + 40 = 20 2q = 20 Divide each side by '2'. q = 10 Simplifying q = 10
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