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Simplifying 7(a + 2) + 3 = -2(2 + -5a) Reorder the terms: 7(2 + a) + 3 = -2(2 + -5a) (2 * 7 + a * 7) + 3 = -2(2 + -5a) (14 + 7a) + 3 = -2(2 + -5a) Reorder the terms: 14 + 3 + 7a = -2(2 + -5a) Combine like terms: 14 + 3 = 17 17 + 7a = -2(2 + -5a) 17 + 7a = (2 * -2 + -5a * -2) 17 + 7a = (-4 + 10a) Solving 17 + 7a = -4 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 17 + 7a + -10a = -4 + 10a + -10a Combine like terms: 7a + -10a = -3a 17 + -3a = -4 + 10a + -10a Combine like terms: 10a + -10a = 0 17 + -3a = -4 + 0 17 + -3a = -4 Add '-17' to each side of the equation. 17 + -17 + -3a = -4 + -17 Combine like terms: 17 + -17 = 0 0 + -3a = -4 + -17 -3a = -4 + -17 Combine like terms: -4 + -17 = -21 -3a = -21 Divide each side by '-3'. a = 7 Simplifying a = 7
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