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Simplifying -5a + -2 = 3(a + -6) Reorder the terms: -2 + -5a = 3(a + -6) Reorder the terms: -2 + -5a = 3(-6 + a) -2 + -5a = (-6 * 3 + a * 3) -2 + -5a = (-18 + 3a) Solving -2 + -5a = -18 + 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. -2 + -5a + -3a = -18 + 3a + -3a Combine like terms: -5a + -3a = -8a -2 + -8a = -18 + 3a + -3a Combine like terms: 3a + -3a = 0 -2 + -8a = -18 + 0 -2 + -8a = -18 Add '2' to each side of the equation. -2 + 2 + -8a = -18 + 2 Combine like terms: -2 + 2 = 0 0 + -8a = -18 + 2 -8a = -18 + 2 Combine like terms: -18 + 2 = -16 -8a = -16 Divide each side by '-8'. a = 2 Simplifying a = 2
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