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Simplifying 35 + 4a = 7(5a + -7) + -3a Reorder the terms: 35 + 4a = 7(-7 + 5a) + -3a 35 + 4a = (-7 * 7 + 5a * 7) + -3a 35 + 4a = (-49 + 35a) + -3a Combine like terms: 35a + -3a = 32a 35 + 4a = -49 + 32a Solving 35 + 4a = -49 + 32a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-32a' to each side of the equation. 35 + 4a + -32a = -49 + 32a + -32a Combine like terms: 4a + -32a = -28a 35 + -28a = -49 + 32a + -32a Combine like terms: 32a + -32a = 0 35 + -28a = -49 + 0 35 + -28a = -49 Add '-35' to each side of the equation. 35 + -35 + -28a = -49 + -35 Combine like terms: 35 + -35 = 0 0 + -28a = -49 + -35 -28a = -49 + -35 Combine like terms: -49 + -35 = -84 -28a = -84 Divide each side by '-28'. a = 3 Simplifying a = 3
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