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Simplifying 16(q + -3) + 2q + -1 = 5(q + 1) + 13q + 2 Reorder the terms: 16(-3 + q) + 2q + -1 = 5(q + 1) + 13q + 2 (-3 * 16 + q * 16) + 2q + -1 = 5(q + 1) + 13q + 2 (-48 + 16q) + 2q + -1 = 5(q + 1) + 13q + 2 Reorder the terms: -48 + -1 + 16q + 2q = 5(q + 1) + 13q + 2 Combine like terms: -48 + -1 = -49 -49 + 16q + 2q = 5(q + 1) + 13q + 2 Combine like terms: 16q + 2q = 18q -49 + 18q = 5(q + 1) + 13q + 2 Reorder the terms: -49 + 18q = 5(1 + q) + 13q + 2 -49 + 18q = (1 * 5 + q * 5) + 13q + 2 -49 + 18q = (5 + 5q) + 13q + 2 Reorder the terms: -49 + 18q = 5 + 2 + 5q + 13q Combine like terms: 5 + 2 = 7 -49 + 18q = 7 + 5q + 13q Combine like terms: 5q + 13q = 18q -49 + 18q = 7 + 18q Add '-18q' to each side of the equation. -49 + 18q + -18q = 7 + 18q + -18q Combine like terms: 18q + -18q = 0 -49 + 0 = 7 + 18q + -18q -49 = 7 + 18q + -18q Combine like terms: 18q + -18q = 0 -49 = 7 + 0 -49 = 7 Solving -49 = 7 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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