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Simplifying a + 2 + (a + -3) = a + -1(4a + -14) Reorder the terms: a + 2 + (-3 + a) = a + -1(4a + -14) Remove parenthesis around (-3 + a) a + 2 + -3 + a = a + -1(4a + -14) Reorder the terms: 2 + -3 + a + a = a + -1(4a + -14) Combine like terms: 2 + -3 = -1 -1 + a + a = a + -1(4a + -14) Combine like terms: a + a = 2a -1 + 2a = a + -1(4a + -14) Reorder the terms: -1 + 2a = a + -1(-14 + 4a) -1 + 2a = a + (-14 * -1 + 4a * -1) -1 + 2a = a + (14 + -4a) Reorder the terms: -1 + 2a = 14 + a + -4a Combine like terms: a + -4a = -3a -1 + 2a = 14 + -3a Solving -1 + 2a = 14 + -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. -1 + 2a + 3a = 14 + -3a + 3a Combine like terms: 2a + 3a = 5a -1 + 5a = 14 + -3a + 3a Combine like terms: -3a + 3a = 0 -1 + 5a = 14 + 0 -1 + 5a = 14 Add '1' to each side of the equation. -1 + 1 + 5a = 14 + 1 Combine like terms: -1 + 1 = 0 0 + 5a = 14 + 1 5a = 14 + 1 Combine like terms: 14 + 1 = 15 5a = 15 Divide each side by '5'. a = 3 Simplifying a = 3
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