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Simplifying 2q + -4 = 5 + 5q + -18 + 3q Reorder the terms: -4 + 2q = 5 + 5q + -18 + 3q Reorder the terms: -4 + 2q = 5 + -18 + 5q + 3q Combine like terms: 5 + -18 = -13 -4 + 2q = -13 + 5q + 3q Combine like terms: 5q + 3q = 8q -4 + 2q = -13 + 8q Solving -4 + 2q = -13 + 8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8q' to each side of the equation. -4 + 2q + -8q = -13 + 8q + -8q Combine like terms: 2q + -8q = -6q -4 + -6q = -13 + 8q + -8q Combine like terms: 8q + -8q = 0 -4 + -6q = -13 + 0 -4 + -6q = -13 Add '4' to each side of the equation. -4 + 4 + -6q = -13 + 4 Combine like terms: -4 + 4 = 0 0 + -6q = -13 + 4 -6q = -13 + 4 Combine like terms: -13 + 4 = -9 -6q = -9 Divide each side by '-6'. q = 1.5 Simplifying q = 1.5
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