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Simplifying -13 + -3a = -2(a + 8) Reorder the terms: -13 + -3a = -2(8 + a) -13 + -3a = (8 * -2 + a * -2) -13 + -3a = (-16 + -2a) Solving -13 + -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. -13 + -3a + 2a = -16 + -2a + 2a Combine like terms: -3a + 2a = -1a -13 + -1a = -16 + -2a + 2a Combine like terms: -2a + 2a = 0 -13 + -1a = -16 + 0 -13 + -1a = -16 Add '13' to each side of the equation. -13 + 13 + -1a = -16 + 13 Combine like terms: -13 + 13 = 0 0 + -1a = -16 + 13 -1a = -16 + 13 Combine like terms: -16 + 13 = -3 -1a = -3 Divide each side by '-1'. a = 3 Simplifying a = 3
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