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Simplifying 4(-1a + -10) = 2(8 + -9a) Reorder the terms: 4(-10 + -1a) = 2(8 + -9a) (-10 * 4 + -1a * 4) = 2(8 + -9a) (-40 + -4a) = 2(8 + -9a) -40 + -4a = (8 * 2 + -9a * 2) -40 + -4a = (16 + -18a) Solving -40 + -4a = 16 + -18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '18a' to each side of the equation. -40 + -4a + 18a = 16 + -18a + 18a Combine like terms: -4a + 18a = 14a -40 + 14a = 16 + -18a + 18a Combine like terms: -18a + 18a = 0 -40 + 14a = 16 + 0 -40 + 14a = 16 Add '40' to each side of the equation. -40 + 40 + 14a = 16 + 40 Combine like terms: -40 + 40 = 0 0 + 14a = 16 + 40 14a = 16 + 40 Combine like terms: 16 + 40 = 56 14a = 56 Divide each side by '14'. a = 4 Simplifying a = 4
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