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Simplifying (a + -3) + 5 = 7(3a + -1) + -2(4a + -4) Reorder the terms: (-3 + a) + 5 = 7(3a + -1) + -2(4a + -4) Remove parenthesis around (-3 + a) -3 + a + 5 = 7(3a + -1) + -2(4a + -4) Reorder the terms: -3 + 5 + a = 7(3a + -1) + -2(4a + -4) Combine like terms: -3 + 5 = 2 2 + a = 7(3a + -1) + -2(4a + -4) Reorder the terms: 2 + a = 7(-1 + 3a) + -2(4a + -4) 2 + a = (-1 * 7 + 3a * 7) + -2(4a + -4) 2 + a = (-7 + 21a) + -2(4a + -4) Reorder the terms: 2 + a = -7 + 21a + -2(-4 + 4a) 2 + a = -7 + 21a + (-4 * -2 + 4a * -2) 2 + a = -7 + 21a + (8 + -8a) Reorder the terms: 2 + a = -7 + 8 + 21a + -8a Combine like terms: -7 + 8 = 1 2 + a = 1 + 21a + -8a Combine like terms: 21a + -8a = 13a 2 + a = 1 + 13a Solving 2 + a = 1 + 13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13a' to each side of the equation. 2 + a + -13a = 1 + 13a + -13a Combine like terms: a + -13a = -12a 2 + -12a = 1 + 13a + -13a Combine like terms: 13a + -13a = 0 2 + -12a = 1 + 0 2 + -12a = 1 Add '-2' to each side of the equation. 2 + -2 + -12a = 1 + -2 Combine like terms: 2 + -2 = 0 0 + -12a = 1 + -2 -12a = 1 + -2 Combine like terms: 1 + -2 = -1 -12a = -1 Divide each side by '-12'. a = 0.08333333333 Simplifying a = 0.08333333333
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