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Simplifying 5 + -7a = 5(a + -5) + 3a Reorder the terms: 5 + -7a = 5(-5 + a) + 3a 5 + -7a = (-5 * 5 + a * 5) + 3a 5 + -7a = (-25 + 5a) + 3a Combine like terms: 5a + 3a = 8a 5 + -7a = -25 + 8a Solving 5 + -7a = -25 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 5 + -7a + -8a = -25 + 8a + -8a Combine like terms: -7a + -8a = -15a 5 + -15a = -25 + 8a + -8a Combine like terms: 8a + -8a = 0 5 + -15a = -25 + 0 5 + -15a = -25 Add '-5' to each side of the equation. 5 + -5 + -15a = -25 + -5 Combine like terms: 5 + -5 = 0 0 + -15a = -25 + -5 -15a = -25 + -5 Combine like terms: -25 + -5 = -30 -15a = -30 Divide each side by '-15'. a = 2 Simplifying a = 2
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