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Simplifying 5(a + -9) + -8 = 5(a + -11) Reorder the terms: 5(-9 + a) + -8 = 5(a + -11) (-9 * 5 + a * 5) + -8 = 5(a + -11) (-45 + 5a) + -8 = 5(a + -11) Reorder the terms: -45 + -8 + 5a = 5(a + -11) Combine like terms: -45 + -8 = -53 -53 + 5a = 5(a + -11) Reorder the terms: -53 + 5a = 5(-11 + a) -53 + 5a = (-11 * 5 + a * 5) -53 + 5a = (-55 + 5a) Add '-5a' to each side of the equation. -53 + 5a + -5a = -55 + 5a + -5a Combine like terms: 5a + -5a = 0 -53 + 0 = -55 + 5a + -5a -53 = -55 + 5a + -5a Combine like terms: 5a + -5a = 0 -53 = -55 + 0 -53 = -55 Solving -53 = -55 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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