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Simplifying 5 + 3(q + -4) = 3(q + 1) Reorder the terms: 5 + 3(-4 + q) = 3(q + 1) 5 + (-4 * 3 + q * 3) = 3(q + 1) 5 + (-12 + 3q) = 3(q + 1) Combine like terms: 5 + -12 = -7 -7 + 3q = 3(q + 1) Reorder the terms: -7 + 3q = 3(1 + q) -7 + 3q = (1 * 3 + q * 3) -7 + 3q = (3 + 3q) Add '-3q' to each side of the equation. -7 + 3q + -3q = 3 + 3q + -3q Combine like terms: 3q + -3q = 0 -7 + 0 = 3 + 3q + -3q -7 = 3 + 3q + -3q Combine like terms: 3q + -3q = 0 -7 = 3 + 0 -7 = 3 Solving -7 = 3 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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