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Simplifying -2 + 7a = 2(a + -6) Reorder the terms: -2 + 7a = 2(-6 + a) -2 + 7a = (-6 * 2 + a * 2) -2 + 7a = (-12 + 2a) Solving -2 + 7a = -12 + 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. -2 + 7a + -2a = -12 + 2a + -2a Combine like terms: 7a + -2a = 5a -2 + 5a = -12 + 2a + -2a Combine like terms: 2a + -2a = 0 -2 + 5a = -12 + 0 -2 + 5a = -12 Add '2' to each side of the equation. -2 + 2 + 5a = -12 + 2 Combine like terms: -2 + 2 = 0 0 + 5a = -12 + 2 5a = -12 + 2 Combine like terms: -12 + 2 = -10 5a = -10 Divide each side by '5'. a = -2 Simplifying a = -2
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