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Simplifying 25(a + -2) + -5(4 + -1a) = 30(a + -7) + 153 Reorder the terms: 25(-2 + a) + -5(4 + -1a) = 30(a + -7) + 153 (-2 * 25 + a * 25) + -5(4 + -1a) = 30(a + -7) + 153 (-50 + 25a) + -5(4 + -1a) = 30(a + -7) + 153 -50 + 25a + (4 * -5 + -1a * -5) = 30(a + -7) + 153 -50 + 25a + (-20 + 5a) = 30(a + -7) + 153 Reorder the terms: -50 + -20 + 25a + 5a = 30(a + -7) + 153 Combine like terms: -50 + -20 = -70 -70 + 25a + 5a = 30(a + -7) + 153 Combine like terms: 25a + 5a = 30a -70 + 30a = 30(a + -7) + 153 Reorder the terms: -70 + 30a = 30(-7 + a) + 153 -70 + 30a = (-7 * 30 + a * 30) + 153 -70 + 30a = (-210 + 30a) + 153 Reorder the terms: -70 + 30a = -210 + 153 + 30a Combine like terms: -210 + 153 = -57 -70 + 30a = -57 + 30a Add '-30a' to each side of the equation. -70 + 30a + -30a = -57 + 30a + -30a Combine like terms: 30a + -30a = 0 -70 + 0 = -57 + 30a + -30a -70 = -57 + 30a + -30a Combine like terms: 30a + -30a = 0 -70 = -57 + 0 -70 = -57 Solving -70 = -57 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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