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Simplifying -5.36 = -2(q + -17) + -13.36 Reorder the terms: -5.36 = -2(-17 + q) + -13.36 -5.36 = (-17 * -2 + q * -2) + -13.36 -5.36 = (34 + -2q) + -13.36 Reorder the terms: -5.36 = 34 + -13.36 + -2q Combine like terms: 34 + -13.36 = 20.64 -5.36 = 20.64 + -2q Solving -5.36 = 20.64 + -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. -5.36 + 2q = 20.64 + -2q + 2q Combine like terms: -2q + 2q = 0 -5.36 + 2q = 20.64 + 0 -5.36 + 2q = 20.64 Add '5.36' to each side of the equation. -5.36 + 5.36 + 2q = 20.64 + 5.36 Combine like terms: -5.36 + 5.36 = 0.00 0.00 + 2q = 20.64 + 5.36 2q = 20.64 + 5.36 Combine like terms: 20.64 + 5.36 = 26 2q = 26 Divide each side by '2'. q = 13 Simplifying q = 13
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