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Simplifying -5(1 + 8a) + -5(7 + -7a) = -5a + -4a (1 * -5 + 8a * -5) + -5(7 + -7a) = -5a + -4a (-5 + -40a) + -5(7 + -7a) = -5a + -4a -5 + -40a + (7 * -5 + -7a * -5) = -5a + -4a -5 + -40a + (-35 + 35a) = -5a + -4a Reorder the terms: -5 + -35 + -40a + 35a = -5a + -4a Combine like terms: -5 + -35 = -40 -40 + -40a + 35a = -5a + -4a Combine like terms: -40a + 35a = -5a -40 + -5a = -5a + -4a Combine like terms: -5a + -4a = -9a -40 + -5a = -9a Solving -40 + -5a = -9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9a' to each side of the equation. -40 + -5a + 9a = -9a + 9a Combine like terms: -5a + 9a = 4a -40 + 4a = -9a + 9a Combine like terms: -9a + 9a = 0 -40 + 4a = 0 Add '40' to each side of the equation. -40 + 40 + 4a = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 4a = 0 + 40 4a = 0 + 40 Combine like terms: 0 + 40 = 40 4a = 40 Divide each side by '4'. a = 10 Simplifying a = 10
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