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Simplifying 3a + -35 = 4(a + 12) Reorder the terms: -35 + 3a = 4(a + 12) Reorder the terms: -35 + 3a = 4(12 + a) -35 + 3a = (12 * 4 + a * 4) -35 + 3a = (48 + 4a) Solving -35 + 3a = 48 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -35 + 3a + -4a = 48 + 4a + -4a Combine like terms: 3a + -4a = -1a -35 + -1a = 48 + 4a + -4a Combine like terms: 4a + -4a = 0 -35 + -1a = 48 + 0 -35 + -1a = 48 Add '35' to each side of the equation. -35 + 35 + -1a = 48 + 35 Combine like terms: -35 + 35 = 0 0 + -1a = 48 + 35 -1a = 48 + 35 Combine like terms: 48 + 35 = 83 -1a = 83 Divide each side by '-1'. a = -83 Simplifying a = -83
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