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Simplifying -209 = -4 + -5(8a + 1) Reorder the terms: -209 = -4 + -5(1 + 8a) -209 = -4 + (1 * -5 + 8a * -5) -209 = -4 + (-5 + -40a) Combine like terms: -4 + -5 = -9 -209 = -9 + -40a Solving -209 = -9 + -40a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '40a' to each side of the equation. -209 + 40a = -9 + -40a + 40a Combine like terms: -40a + 40a = 0 -209 + 40a = -9 + 0 -209 + 40a = -9 Add '209' to each side of the equation. -209 + 209 + 40a = -9 + 209 Combine like terms: -209 + 209 = 0 0 + 40a = -9 + 209 40a = -9 + 209 Combine like terms: -9 + 209 = 200 40a = 200 Divide each side by '40'. a = 5 Simplifying a = 5
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