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Simplifying -2(a + -10) = 6(a + -2) Reorder the terms: -2(-10 + a) = 6(a + -2) (-10 * -2 + a * -2) = 6(a + -2) (20 + -2a) = 6(a + -2) Reorder the terms: 20 + -2a = 6(-2 + a) 20 + -2a = (-2 * 6 + a * 6) 20 + -2a = (-12 + 6a) Solving 20 + -2a = -12 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 20 + -2a + -6a = -12 + 6a + -6a Combine like terms: -2a + -6a = -8a 20 + -8a = -12 + 6a + -6a Combine like terms: 6a + -6a = 0 20 + -8a = -12 + 0 20 + -8a = -12 Add '-20' to each side of the equation. 20 + -20 + -8a = -12 + -20 Combine like terms: 20 + -20 = 0 0 + -8a = -12 + -20 -8a = -12 + -20 Combine like terms: -12 + -20 = -32 -8a = -32 Divide each side by '-8'. a = 4 Simplifying a = 4
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