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Simplifying -19q + 2(20q + 19) = -19 + 17q + 5 Reorder the terms: -19q + 2(19 + 20q) = -19 + 17q + 5 -19q + (19 * 2 + 20q * 2) = -19 + 17q + 5 -19q + (38 + 40q) = -19 + 17q + 5 Reorder the terms: 38 + -19q + 40q = -19 + 17q + 5 Combine like terms: -19q + 40q = 21q 38 + 21q = -19 + 17q + 5 Reorder the terms: 38 + 21q = -19 + 5 + 17q Combine like terms: -19 + 5 = -14 38 + 21q = -14 + 17q Solving 38 + 21q = -14 + 17q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-17q' to each side of the equation. 38 + 21q + -17q = -14 + 17q + -17q Combine like terms: 21q + -17q = 4q 38 + 4q = -14 + 17q + -17q Combine like terms: 17q + -17q = 0 38 + 4q = -14 + 0 38 + 4q = -14 Add '-38' to each side of the equation. 38 + -38 + 4q = -14 + -38 Combine like terms: 38 + -38 = 0 0 + 4q = -14 + -38 4q = -14 + -38 Combine like terms: -14 + -38 = -52 4q = -52 Divide each side by '4'. q = -13 Simplifying q = -13
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