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Simplifying 3a + 7 = 2(a + -8) + 32 Reorder the terms: 7 + 3a = 2(a + -8) + 32 Reorder the terms: 7 + 3a = 2(-8 + a) + 32 7 + 3a = (-8 * 2 + a * 2) + 32 7 + 3a = (-16 + 2a) + 32 Reorder the terms: 7 + 3a = -16 + 32 + 2a Combine like terms: -16 + 32 = 16 7 + 3a = 16 + 2a Solving 7 + 3a = 16 + 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. 7 + 3a + -2a = 16 + 2a + -2a Combine like terms: 3a + -2a = 1a 7 + 1a = 16 + 2a + -2a Combine like terms: 2a + -2a = 0 7 + 1a = 16 + 0 7 + 1a = 16 Add '-7' to each side of the equation. 7 + -7 + 1a = 16 + -7 Combine like terms: 7 + -7 = 0 0 + 1a = 16 + -7 1a = 16 + -7 Combine like terms: 16 + -7 = 9 1a = 9 Divide each side by '1'. a = 9 Simplifying a = 9
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