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Simplifying -2(1 + 5a) = -1(a + 3) (1 * -2 + 5a * -2) = -1(a + 3) (-2 + -10a) = -1(a + 3) Reorder the terms: -2 + -10a = -1(3 + a) -2 + -10a = (3 * -1 + a * -1) -2 + -10a = (-3 + -1a) Solving -2 + -10a = -3 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -2 + -10a + a = -3 + -1a + a Combine like terms: -10a + a = -9a -2 + -9a = -3 + -1a + a Combine like terms: -1a + a = 0 -2 + -9a = -3 + 0 -2 + -9a = -3 Add '2' to each side of the equation. -2 + 2 + -9a = -3 + 2 Combine like terms: -2 + 2 = 0 0 + -9a = -3 + 2 -9a = -3 + 2 Combine like terms: -3 + 2 = -1 -9a = -1 Divide each side by '-9'. a = 0.1111111111 Simplifying a = 0.1111111111
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