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Simplifying 2(a + -4) + 7 = -19 Reorder the terms: 2(-4 + a) + 7 = -19 (-4 * 2 + a * 2) + 7 = -19 (-8 + 2a) + 7 = -19 Reorder the terms: -8 + 7 + 2a = -19 Combine like terms: -8 + 7 = -1 -1 + 2a = -19 Solving -1 + 2a = -19 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2a = -19 + 1 Combine like terms: -1 + 1 = 0 0 + 2a = -19 + 1 2a = -19 + 1 Combine like terms: -19 + 1 = -18 2a = -18 Divide each side by '2'. a = -9 Simplifying a = -9
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