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Simplifying -2(a + 3) + -5 = -4(a + -2) + 1 Reorder the terms: -2(3 + a) + -5 = -4(a + -2) + 1 (3 * -2 + a * -2) + -5 = -4(a + -2) + 1 (-6 + -2a) + -5 = -4(a + -2) + 1 Reorder the terms: -6 + -5 + -2a = -4(a + -2) + 1 Combine like terms: -6 + -5 = -11 -11 + -2a = -4(a + -2) + 1 Reorder the terms: -11 + -2a = -4(-2 + a) + 1 -11 + -2a = (-2 * -4 + a * -4) + 1 -11 + -2a = (8 + -4a) + 1 Reorder the terms: -11 + -2a = 8 + 1 + -4a Combine like terms: 8 + 1 = 9 -11 + -2a = 9 + -4a Solving -11 + -2a = 9 + -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. -11 + -2a + 4a = 9 + -4a + 4a Combine like terms: -2a + 4a = 2a -11 + 2a = 9 + -4a + 4a Combine like terms: -4a + 4a = 0 -11 + 2a = 9 + 0 -11 + 2a = 9 Add '11' to each side of the equation. -11 + 11 + 2a = 9 + 11 Combine like terms: -11 + 11 = 0 0 + 2a = 9 + 11 2a = 9 + 11 Combine like terms: 9 + 11 = 20 2a = 20 Divide each side by '2'. a = 10 Simplifying a = 10
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