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Simplifying -2(1 + 5a) = -6(a + 3) (1 * -2 + 5a * -2) = -6(a + 3) (-2 + -10a) = -6(a + 3) Reorder the terms: -2 + -10a = -6(3 + a) -2 + -10a = (3 * -6 + a * -6) -2 + -10a = (-18 + -6a) Solving -2 + -10a = -18 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. -2 + -10a + 6a = -18 + -6a + 6a Combine like terms: -10a + 6a = -4a -2 + -4a = -18 + -6a + 6a Combine like terms: -6a + 6a = 0 -2 + -4a = -18 + 0 -2 + -4a = -18 Add '2' to each side of the equation. -2 + 2 + -4a = -18 + 2 Combine like terms: -2 + 2 = 0 0 + -4a = -18 + 2 -4a = -18 + 2 Combine like terms: -18 + 2 = -16 -4a = -16 Divide each side by '-4'. a = 4 Simplifying a = 4
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