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Simplifying 6a + -30 = 15a + 2a + -74 Reorder the terms: -30 + 6a = 15a + 2a + -74 Reorder the terms: -30 + 6a = -74 + 15a + 2a Combine like terms: 15a + 2a = 17a -30 + 6a = -74 + 17a Solving -30 + 6a = -74 + 17a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17a' to each side of the equation. -30 + 6a + -17a = -74 + 17a + -17a Combine like terms: 6a + -17a = -11a -30 + -11a = -74 + 17a + -17a Combine like terms: 17a + -17a = 0 -30 + -11a = -74 + 0 -30 + -11a = -74 Add '30' to each side of the equation. -30 + 30 + -11a = -74 + 30 Combine like terms: -30 + 30 = 0 0 + -11a = -74 + 30 -11a = -74 + 30 Combine like terms: -74 + 30 = -44 -11a = -44 Divide each side by '-11'. a = 4 Simplifying a = 4
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