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Simplifying -8 + -2a = 3 + 5(a + 2) Reorder the terms: -8 + -2a = 3 + 5(2 + a) -8 + -2a = 3 + (2 * 5 + a * 5) -8 + -2a = 3 + (10 + 5a) Combine like terms: 3 + 10 = 13 -8 + -2a = 13 + 5a Solving -8 + -2a = 13 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -8 + -2a + -5a = 13 + 5a + -5a Combine like terms: -2a + -5a = -7a -8 + -7a = 13 + 5a + -5a Combine like terms: 5a + -5a = 0 -8 + -7a = 13 + 0 -8 + -7a = 13 Add '8' to each side of the equation. -8 + 8 + -7a = 13 + 8 Combine like terms: -8 + 8 = 0 0 + -7a = 13 + 8 -7a = 13 + 8 Combine like terms: 13 + 8 = 21 -7a = 21 Divide each side by '-7'. a = -3 Simplifying a = -3
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