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Simplifying 15a + -75 + 1 = 6a + -30 Reorder the terms: -75 + 1 + 15a = 6a + -30 Combine like terms: -75 + 1 = -74 -74 + 15a = 6a + -30 Reorder the terms: -74 + 15a = -30 + 6a Solving -74 + 15a = -30 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -74 + 15a + -6a = -30 + 6a + -6a Combine like terms: 15a + -6a = 9a -74 + 9a = -30 + 6a + -6a Combine like terms: 6a + -6a = 0 -74 + 9a = -30 + 0 -74 + 9a = -30 Add '74' to each side of the equation. -74 + 74 + 9a = -30 + 74 Combine like terms: -74 + 74 = 0 0 + 9a = -30 + 74 9a = -30 + 74 Combine like terms: -30 + 74 = 44 9a = 44 Divide each side by '9'. a = 4.888888889 Simplifying a = 4.888888889
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