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Simplifying 2 + -5(a + 3) = 3a + 4[5 + -2(3a + 11)] Reorder the terms: 2 + -5(3 + a) = 3a + 4[5 + -2(3a + 11)] 2 + (3 * -5 + a * -5) = 3a + 4[5 + -2(3a + 11)] 2 + (-15 + -5a) = 3a + 4[5 + -2(3a + 11)] Combine like terms: 2 + -15 = -13 -13 + -5a = 3a + 4[5 + -2(3a + 11)] Reorder the terms: -13 + -5a = 3a + 4[5 + -2(11 + 3a)] -13 + -5a = 3a + 4[5 + (11 * -2 + 3a * -2)] -13 + -5a = 3a + 4[5 + (-22 + -6a)] Combine like terms: 5 + -22 = -17 -13 + -5a = 3a + 4[-17 + -6a] -13 + -5a = 3a + [-17 * 4 + -6a * 4] -13 + -5a = 3a + [-68 + -24a] Reorder the terms: -13 + -5a = -68 + 3a + -24a Combine like terms: 3a + -24a = -21a -13 + -5a = -68 + -21a Solving -13 + -5a = -68 + -21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21a' to each side of the equation. -13 + -5a + 21a = -68 + -21a + 21a Combine like terms: -5a + 21a = 16a -13 + 16a = -68 + -21a + 21a Combine like terms: -21a + 21a = 0 -13 + 16a = -68 + 0 -13 + 16a = -68 Add '13' to each side of the equation. -13 + 13 + 16a = -68 + 13 Combine like terms: -13 + 13 = 0 0 + 16a = -68 + 13 16a = -68 + 13 Combine like terms: -68 + 13 = -55 16a = -55 Divide each side by '16'. a = -3.4375 Simplifying a = -3.4375
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