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Simplifying 7 + -6a = -5 + -3(a + -5) Reorder the terms: 7 + -6a = -5 + -3(-5 + a) 7 + -6a = -5 + (-5 * -3 + a * -3) 7 + -6a = -5 + (15 + -3a) Combine like terms: -5 + 15 = 10 7 + -6a = 10 + -3a Solving 7 + -6a = 10 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 7 + -6a + 3a = 10 + -3a + 3a Combine like terms: -6a + 3a = -3a 7 + -3a = 10 + -3a + 3a Combine like terms: -3a + 3a = 0 7 + -3a = 10 + 0 7 + -3a = 10 Add '-7' to each side of the equation. 7 + -7 + -3a = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -3a = 10 + -7 -3a = 10 + -7 Combine like terms: 10 + -7 = 3 -3a = 3 Divide each side by '-3'. a = -1 Simplifying a = -1
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