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Simplifying -2 + -5(a + 3) = 2(1 + 7a) Reorder the terms: -2 + -5(3 + a) = 2(1 + 7a) -2 + (3 * -5 + a * -5) = 2(1 + 7a) -2 + (-15 + -5a) = 2(1 + 7a) Combine like terms: -2 + -15 = -17 -17 + -5a = 2(1 + 7a) -17 + -5a = (1 * 2 + 7a * 2) -17 + -5a = (2 + 14a) Solving -17 + -5a = 2 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. -17 + -5a + -14a = 2 + 14a + -14a Combine like terms: -5a + -14a = -19a -17 + -19a = 2 + 14a + -14a Combine like terms: 14a + -14a = 0 -17 + -19a = 2 + 0 -17 + -19a = 2 Add '17' to each side of the equation. -17 + 17 + -19a = 2 + 17 Combine like terms: -17 + 17 = 0 0 + -19a = 2 + 17 -19a = 2 + 17 Combine like terms: 2 + 17 = 19 -19a = 19 Divide each side by '-19'. a = -1 Simplifying a = -1
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