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Simplifying 6a + -7 = 2(2a + -13) Reorder the terms: -7 + 6a = 2(2a + -13) Reorder the terms: -7 + 6a = 2(-13 + 2a) -7 + 6a = (-13 * 2 + 2a * 2) -7 + 6a = (-26 + 4a) Solving -7 + 6a = -26 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -7 + 6a + -4a = -26 + 4a + -4a Combine like terms: 6a + -4a = 2a -7 + 2a = -26 + 4a + -4a Combine like terms: 4a + -4a = 0 -7 + 2a = -26 + 0 -7 + 2a = -26 Add '7' to each side of the equation. -7 + 7 + 2a = -26 + 7 Combine like terms: -7 + 7 = 0 0 + 2a = -26 + 7 2a = -26 + 7 Combine like terms: -26 + 7 = -19 2a = -19 Divide each side by '2'. a = -9.5 Simplifying a = -9.5
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