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Simplifying 3a + -5 = -8(6 + 5a) Reorder the terms: -5 + 3a = -8(6 + 5a) -5 + 3a = (6 * -8 + 5a * -8) -5 + 3a = (-48 + -40a) Solving -5 + 3a = -48 + -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. -5 + 3a + 40a = -48 + -40a + 40a Combine like terms: 3a + 40a = 43a -5 + 43a = -48 + -40a + 40a Combine like terms: -40a + 40a = 0 -5 + 43a = -48 + 0 -5 + 43a = -48 Add '5' to each side of the equation. -5 + 5 + 43a = -48 + 5 Combine like terms: -5 + 5 = 0 0 + 43a = -48 + 5 43a = -48 + 5 Combine like terms: -48 + 5 = -43 43a = -43 Divide each side by '43'. a = -1 Simplifying a = -1
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