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Simplifying 12q + -44 = 16q + -100 Reorder the terms: -44 + 12q = 16q + -100 Reorder the terms: -44 + 12q = -100 + 16q Solving -44 + 12q = -100 + 16q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-16q' to each side of the equation. -44 + 12q + -16q = -100 + 16q + -16q Combine like terms: 12q + -16q = -4q -44 + -4q = -100 + 16q + -16q Combine like terms: 16q + -16q = 0 -44 + -4q = -100 + 0 -44 + -4q = -100 Add '44' to each side of the equation. -44 + 44 + -4q = -100 + 44 Combine like terms: -44 + 44 = 0 0 + -4q = -100 + 44 -4q = -100 + 44 Combine like terms: -100 + 44 = -56 -4q = -56 Divide each side by '-4'. q = 14 Simplifying q = 14
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