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Simplifying 8a + 3 = 2(a + -2) + 13 Reorder the terms: 3 + 8a = 2(a + -2) + 13 Reorder the terms: 3 + 8a = 2(-2 + a) + 13 3 + 8a = (-2 * 2 + a * 2) + 13 3 + 8a = (-4 + 2a) + 13 Reorder the terms: 3 + 8a = -4 + 13 + 2a Combine like terms: -4 + 13 = 9 3 + 8a = 9 + 2a Solving 3 + 8a = 9 + 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. 3 + 8a + -2a = 9 + 2a + -2a Combine like terms: 8a + -2a = 6a 3 + 6a = 9 + 2a + -2a Combine like terms: 2a + -2a = 0 3 + 6a = 9 + 0 3 + 6a = 9 Add '-3' to each side of the equation. 3 + -3 + 6a = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 6a = 9 + -3 6a = 9 + -3 Combine like terms: 9 + -3 = 6 6a = 6 Divide each side by '6'. a = 1 Simplifying a = 1
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