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Simplifying 7 + 3a = 2(2a + -5) Reorder the terms: 7 + 3a = 2(-5 + 2a) 7 + 3a = (-5 * 2 + 2a * 2) 7 + 3a = (-10 + 4a) Solving 7 + 3a = -10 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 7 + 3a + -4a = -10 + 4a + -4a Combine like terms: 3a + -4a = -1a 7 + -1a = -10 + 4a + -4a Combine like terms: 4a + -4a = 0 7 + -1a = -10 + 0 7 + -1a = -10 Add '-7' to each side of the equation. 7 + -7 + -1a = -10 + -7 Combine like terms: 7 + -7 = 0 0 + -1a = -10 + -7 -1a = -10 + -7 Combine like terms: -10 + -7 = -17 -1a = -17 Divide each side by '-1'. a = 17 Simplifying a = 17
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