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Simplifying 35a + 140 + -15a + 105 = 21a + 147 Reorder the terms: 140 + 105 + 35a + -15a = 21a + 147 Combine like terms: 140 + 105 = 245 245 + 35a + -15a = 21a + 147 Combine like terms: 35a + -15a = 20a 245 + 20a = 21a + 147 Reorder the terms: 245 + 20a = 147 + 21a Solving 245 + 20a = 147 + 21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21a' to each side of the equation. 245 + 20a + -21a = 147 + 21a + -21a Combine like terms: 20a + -21a = -1a 245 + -1a = 147 + 21a + -21a Combine like terms: 21a + -21a = 0 245 + -1a = 147 + 0 245 + -1a = 147 Add '-245' to each side of the equation. 245 + -245 + -1a = 147 + -245 Combine like terms: 245 + -245 = 0 0 + -1a = 147 + -245 -1a = 147 + -245 Combine like terms: 147 + -245 = -98 -1a = -98 Divide each side by '-1'. a = 98 Simplifying a = 98
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