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Simplifying 10a + 15 = 7a + -30 Reorder the terms: 15 + 10a = 7a + -30 Reorder the terms: 15 + 10a = -30 + 7a Solving 15 + 10a = -30 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 15 + 10a + -7a = -30 + 7a + -7a Combine like terms: 10a + -7a = 3a 15 + 3a = -30 + 7a + -7a Combine like terms: 7a + -7a = 0 15 + 3a = -30 + 0 15 + 3a = -30 Add '-15' to each side of the equation. 15 + -15 + 3a = -30 + -15 Combine like terms: 15 + -15 = 0 0 + 3a = -30 + -15 3a = -30 + -15 Combine like terms: -30 + -15 = -45 3a = -45 Divide each side by '3'. a = -15 Simplifying a = -15
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