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Simplifying 10(q + -5) = 4(q + 10) + 6q + 10 Reorder the terms: 10(-5 + q) = 4(q + 10) + 6q + 10 (-5 * 10 + q * 10) = 4(q + 10) + 6q + 10 (-50 + 10q) = 4(q + 10) + 6q + 10 Reorder the terms: -50 + 10q = 4(10 + q) + 6q + 10 -50 + 10q = (10 * 4 + q * 4) + 6q + 10 -50 + 10q = (40 + 4q) + 6q + 10 Reorder the terms: -50 + 10q = 40 + 10 + 4q + 6q Combine like terms: 40 + 10 = 50 -50 + 10q = 50 + 4q + 6q Combine like terms: 4q + 6q = 10q -50 + 10q = 50 + 10q Add '-10q' to each side of the equation. -50 + 10q + -10q = 50 + 10q + -10q Combine like terms: 10q + -10q = 0 -50 + 0 = 50 + 10q + -10q -50 = 50 + 10q + -10q Combine like terms: 10q + -10q = 0 -50 = 50 + 0 -50 = 50 Solving -50 = 50 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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