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Simplifying -3 = 2(q + -7) + 5 Reorder the terms: -3 = 2(-7 + q) + 5 -3 = (-7 * 2 + q * 2) + 5 -3 = (-14 + 2q) + 5 Reorder the terms: -3 = -14 + 5 + 2q Combine like terms: -14 + 5 = -9 -3 = -9 + 2q Solving -3 = -9 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. -3 + -2q = -9 + 2q + -2q Combine like terms: 2q + -2q = 0 -3 + -2q = -9 + 0 -3 + -2q = -9 Add '3' to each side of the equation. -3 + 3 + -2q = -9 + 3 Combine like terms: -3 + 3 = 0 0 + -2q = -9 + 3 -2q = -9 + 3 Combine like terms: -9 + 3 = -6 -2q = -6 Divide each side by '-2'. q = 3 Simplifying q = 3
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