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Simplifying a + 5 = 2(a + -3) Reorder the terms: 5 + a = 2(a + -3) Reorder the terms: 5 + a = 2(-3 + a) 5 + a = (-3 * 2 + a * 2) 5 + a = (-6 + 2a) Solving 5 + a = -6 + 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. 5 + a + -2a = -6 + 2a + -2a Combine like terms: a + -2a = -1a 5 + -1a = -6 + 2a + -2a Combine like terms: 2a + -2a = 0 5 + -1a = -6 + 0 5 + -1a = -6 Add '-5' to each side of the equation. 5 + -5 + -1a = -6 + -5 Combine like terms: 5 + -5 = 0 0 + -1a = -6 + -5 -1a = -6 + -5 Combine like terms: -6 + -5 = -11 -1a = -11 Divide each side by '-1'. a = 11 Simplifying a = 11
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