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Simplifying 5a + -1(4 + 7a) = -1a + -8 5a + (4 * -1 + 7a * -1) = -1a + -8 5a + (-4 + -7a) = -1a + -8 Reorder the terms: -4 + 5a + -7a = -1a + -8 Combine like terms: 5a + -7a = -2a -4 + -2a = -1a + -8 Reorder the terms: -4 + -2a = -8 + -1a Solving -4 + -2a = -8 + -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. -4 + -2a + a = -8 + -1a + a Combine like terms: -2a + a = -1a -4 + -1a = -8 + -1a + a Combine like terms: -1a + a = 0 -4 + -1a = -8 + 0 -4 + -1a = -8 Add '4' to each side of the equation. -4 + 4 + -1a = -8 + 4 Combine like terms: -4 + 4 = 0 0 + -1a = -8 + 4 -1a = -8 + 4 Combine like terms: -8 + 4 = -4 -1a = -4 Divide each side by '-1'. a = 4 Simplifying a = 4
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