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Simplifying 4(q + -8) + q + -3 = 5(q + -7) Reorder the terms: 4(-8 + q) + q + -3 = 5(q + -7) (-8 * 4 + q * 4) + q + -3 = 5(q + -7) (-32 + 4q) + q + -3 = 5(q + -7) Reorder the terms: -32 + -3 + 4q + q = 5(q + -7) Combine like terms: -32 + -3 = -35 -35 + 4q + q = 5(q + -7) Combine like terms: 4q + q = 5q -35 + 5q = 5(q + -7) Reorder the terms: -35 + 5q = 5(-7 + q) -35 + 5q = (-7 * 5 + q * 5) -35 + 5q = (-35 + 5q) Add '35' to each side of the equation. -35 + 35 + 5q = -35 + 35 + 5q Combine like terms: -35 + 35 = 0 0 + 5q = -35 + 35 + 5q 5q = -35 + 35 + 5q Combine like terms: -35 + 35 = 0 5q = 0 + 5q 5q = 5q Add '-5q' to each side of the equation. 5q + -5q = 5q + -5q Combine like terms: 5q + -5q = 0 0 = 5q + -5q Combine like terms: 5q + -5q = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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