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Simplifying (a + -5) * 2 + -1(2a + 3) * 2 = 0 Reorder the terms: (-5 + a) * 2 + -1(2a + 3) * 2 = 0 Reorder the terms for easier multiplication: 2(-5 + a) + -1(2a + 3) * 2 = 0 (-5 * 2 + a * 2) + -1(2a + 3) * 2 = 0 (-10 + 2a) + -1(2a + 3) * 2 = 0 Reorder the terms: -10 + 2a + -1(3 + 2a) * 2 = 0 Reorder the terms for easier multiplication: -10 + 2a + -1 * 2(3 + 2a) = 0 Multiply -1 * 2 -10 + 2a + -2(3 + 2a) = 0 -10 + 2a + (3 * -2 + 2a * -2) = 0 -10 + 2a + (-6 + -4a) = 0 Reorder the terms: -10 + -6 + 2a + -4a = 0 Combine like terms: -10 + -6 = -16 -16 + 2a + -4a = 0 Combine like terms: 2a + -4a = -2a -16 + -2a = 0 Solving -16 + -2a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -2a = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -2a = 0 + 16 -2a = 0 + 16 Combine like terms: 0 + 16 = 16 -2a = 16 Divide each side by '-2'. a = -8 Simplifying a = -8
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