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Simplifying 6(3q + -4) + 5q + -2 = 5(4q + 1) + 3q + -7 Reorder the terms: 6(-4 + 3q) + 5q + -2 = 5(4q + 1) + 3q + -7 (-4 * 6 + 3q * 6) + 5q + -2 = 5(4q + 1) + 3q + -7 (-24 + 18q) + 5q + -2 = 5(4q + 1) + 3q + -7 Reorder the terms: -24 + -2 + 18q + 5q = 5(4q + 1) + 3q + -7 Combine like terms: -24 + -2 = -26 -26 + 18q + 5q = 5(4q + 1) + 3q + -7 Combine like terms: 18q + 5q = 23q -26 + 23q = 5(4q + 1) + 3q + -7 Reorder the terms: -26 + 23q = 5(1 + 4q) + 3q + -7 -26 + 23q = (1 * 5 + 4q * 5) + 3q + -7 -26 + 23q = (5 + 20q) + 3q + -7 Reorder the terms: -26 + 23q = 5 + -7 + 20q + 3q Combine like terms: 5 + -7 = -2 -26 + 23q = -2 + 20q + 3q Combine like terms: 20q + 3q = 23q -26 + 23q = -2 + 23q Add '-23q' to each side of the equation. -26 + 23q + -23q = -2 + 23q + -23q Combine like terms: 23q + -23q = 0 -26 + 0 = -2 + 23q + -23q -26 = -2 + 23q + -23q Combine like terms: 23q + -23q = 0 -26 = -2 + 0 -26 = -2 Solving -26 = -2 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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