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Simplifying -2(a + 1) = 2 + -4(1 + -5a) Reorder the terms: -2(1 + a) = 2 + -4(1 + -5a) (1 * -2 + a * -2) = 2 + -4(1 + -5a) (-2 + -2a) = 2 + -4(1 + -5a) -2 + -2a = 2 + (1 * -4 + -5a * -4) -2 + -2a = 2 + (-4 + 20a) Combine like terms: 2 + -4 = -2 -2 + -2a = -2 + 20a Add '2' to each side of the equation. -2 + 2 + -2a = -2 + 2 + 20a Combine like terms: -2 + 2 = 0 0 + -2a = -2 + 2 + 20a -2a = -2 + 2 + 20a Combine like terms: -2 + 2 = 0 -2a = 0 + 20a -2a = 20a Solving -2a = 20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20a' to each side of the equation. -2a + -20a = 20a + -20a Combine like terms: -2a + -20a = -22a -22a = 20a + -20a Combine like terms: 20a + -20a = 0 -22a = 0 Divide each side by '-22'. a = 0 Simplifying a = 0
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