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Simplifying -2(a + 3) + -2 = 3a + -15 + -8 Reorder the terms: -2(3 + a) + -2 = 3a + -15 + -8 (3 * -2 + a * -2) + -2 = 3a + -15 + -8 (-6 + -2a) + -2 = 3a + -15 + -8 Reorder the terms: -6 + -2 + -2a = 3a + -15 + -8 Combine like terms: -6 + -2 = -8 -8 + -2a = 3a + -15 + -8 Reorder the terms: -8 + -2a = -15 + -8 + 3a Combine like terms: -15 + -8 = -23 -8 + -2a = -23 + 3a Solving -8 + -2a = -23 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -8 + -2a + -3a = -23 + 3a + -3a Combine like terms: -2a + -3a = -5a -8 + -5a = -23 + 3a + -3a Combine like terms: 3a + -3a = 0 -8 + -5a = -23 + 0 -8 + -5a = -23 Add '8' to each side of the equation. -8 + 8 + -5a = -23 + 8 Combine like terms: -8 + 8 = 0 0 + -5a = -23 + 8 -5a = -23 + 8 Combine like terms: -23 + 8 = -15 -5a = -15 Divide each side by '-5'. a = 3 Simplifying a = 3
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