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Simplifying 8(q + -5) = -2(10 + 3q) Reorder the terms: 8(-5 + q) = -2(10 + 3q) (-5 * 8 + q * 8) = -2(10 + 3q) (-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 = 14q -40 + 14q = -20 + -6q + 6q Combine like terms: -6q + 6q = 0 -40 + 14q = -20 + 0 -40 + 14q = -20 Add '40' to each side of the equation. -40 + 40 + 14q = -20 + 40 Combine like terms: -40 + 40 = 0 0 + 14q = -20 + 40 14q = -20 + 40 Combine like terms: -20 + 40 = 20 14q = 20 Divide each side by '14'. q = 1.428571429 Simplifying q = 1.428571429
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