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Simplifying 3(a + b) + -15 = 30 (a * 3 + b * 3) + -15 = 30 (3a + 3b) + -15 = 30 Reorder the terms: -15 + 3a + 3b = 30 Solving -15 + 3a + 3b = 30 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 3a + 15 + 3b = 30 + 15 Reorder the terms: -15 + 15 + 3a + 3b = 30 + 15 Combine like terms: -15 + 15 = 0 0 + 3a + 3b = 30 + 15 3a + 3b = 30 + 15 Combine like terms: 30 + 15 = 45 3a + 3b = 45 Add '-3b' to each side of the equation. 3a + 3b + -3b = 45 + -3b Combine like terms: 3b + -3b = 0 3a + 0 = 45 + -3b 3a = 45 + -3b Divide each side by '3'. a = 15 + -1b Simplifying a = 15 + -1b
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