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Simplifying 3a + 4 = 2(a + -5) + 15 Reorder the terms: 4 + 3a = 2(a + -5) + 15 Reorder the terms: 4 + 3a = 2(-5 + a) + 15 4 + 3a = (-5 * 2 + a * 2) + 15 4 + 3a = (-10 + 2a) + 15 Reorder the terms: 4 + 3a = -10 + 15 + 2a Combine like terms: -10 + 15 = 5 4 + 3a = 5 + 2a Solving 4 + 3a = 5 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 4 + 3a + -2a = 5 + 2a + -2a Combine like terms: 3a + -2a = 1a 4 + 1a = 5 + 2a + -2a Combine like terms: 2a + -2a = 0 4 + 1a = 5 + 0 4 + 1a = 5 Add '-4' to each side of the equation. 4 + -4 + 1a = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 1a = 5 + -4 1a = 5 + -4 Combine like terms: 5 + -4 = 1 1a = 1 Divide each side by '1'. a = 1 Simplifying a = 1
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