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Simplifying 12(a + -3) + -35 = (13 + -1a) Reorder the terms: 12(-3 + a) + -35 = (13 + -1a) (-3 * 12 + a * 12) + -35 = (13 + -1a) (-36 + 12a) + -35 = (13 + -1a) Reorder the terms: -36 + -35 + 12a = (13 + -1a) Combine like terms: -36 + -35 = -71 -71 + 12a = (13 + -1a) Remove parenthesis around (13 + -1a) -71 + 12a = 13 + -1a Solving -71 + 12a = 13 + -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. -71 + 12a + a = 13 + -1a + a Combine like terms: 12a + a = 13a -71 + 13a = 13 + -1a + a Combine like terms: -1a + a = 0 -71 + 13a = 13 + 0 -71 + 13a = 13 Add '71' to each side of the equation. -71 + 71 + 13a = 13 + 71 Combine like terms: -71 + 71 = 0 0 + 13a = 13 + 71 13a = 13 + 71 Combine like terms: 13 + 71 = 84 13a = 84 Divide each side by '13'. a = 6.461538462 Simplifying a = 6.461538462
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