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Simplifying 12(a + -3) + -35 = 5(13 + -1a) Reorder the terms: 12(-3 + a) + -35 = 5(13 + -1a) (-3 * 12 + a * 12) + -35 = 5(13 + -1a) (-36 + 12a) + -35 = 5(13 + -1a) Reorder the terms: -36 + -35 + 12a = 5(13 + -1a) Combine like terms: -36 + -35 = -71 -71 + 12a = 5(13 + -1a) -71 + 12a = (13 * 5 + -1a * 5) -71 + 12a = (65 + -5a) Solving -71 + 12a = 65 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. -71 + 12a + 5a = 65 + -5a + 5a Combine like terms: 12a + 5a = 17a -71 + 17a = 65 + -5a + 5a Combine like terms: -5a + 5a = 0 -71 + 17a = 65 + 0 -71 + 17a = 65 Add '71' to each side of the equation. -71 + 71 + 17a = 65 + 71 Combine like terms: -71 + 71 = 0 0 + 17a = 65 + 71 17a = 65 + 71 Combine like terms: 65 + 71 = 136 17a = 136 Divide each side by '17'. a = 8 Simplifying a = 8
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