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Simplifying 7(3q + -5) + -7q = 7(2q + -8) Reorder the terms: 7(-5 + 3q) + -7q = 7(2q + -8) (-5 * 7 + 3q * 7) + -7q = 7(2q + -8) (-35 + 21q) + -7q = 7(2q + -8) Combine like terms: 21q + -7q = 14q -35 + 14q = 7(2q + -8) Reorder the terms: -35 + 14q = 7(-8 + 2q) -35 + 14q = (-8 * 7 + 2q * 7) -35 + 14q = (-56 + 14q) Add '-14q' to each side of the equation. -35 + 14q + -14q = -56 + 14q + -14q Combine like terms: 14q + -14q = 0 -35 + 0 = -56 + 14q + -14q -35 = -56 + 14q + -14q Combine like terms: 14q + -14q = 0 -35 = -56 + 0 -35 = -56 Solving -35 = -56 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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