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Simplifying (8a + -5 + 1) = 8 + -2(a + -3) Reorder the terms: (-5 + 1 + 8a) = 8 + -2(a + -3) Combine like terms: -5 + 1 = -4 (-4 + 8a) = 8 + -2(a + -3) Remove parenthesis around (-4 + 8a) -4 + 8a = 8 + -2(a + -3) Reorder the terms: -4 + 8a = 8 + -2(-3 + a) -4 + 8a = 8 + (-3 * -2 + a * -2) -4 + 8a = 8 + (6 + -2a) Combine like terms: 8 + 6 = 14 -4 + 8a = 14 + -2a Solving -4 + 8a = 14 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. -4 + 8a + 2a = 14 + -2a + 2a Combine like terms: 8a + 2a = 10a -4 + 10a = 14 + -2a + 2a Combine like terms: -2a + 2a = 0 -4 + 10a = 14 + 0 -4 + 10a = 14 Add '4' to each side of the equation. -4 + 4 + 10a = 14 + 4 Combine like terms: -4 + 4 = 0 0 + 10a = 14 + 4 10a = 14 + 4 Combine like terms: 14 + 4 = 18 10a = 18 Divide each side by '10'. a = 1.8 Simplifying a = 1.8
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