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Simplifying 8(a + 2) + 3 = 2(a + -4) + -11 Reorder the terms: 8(2 + a) + 3 = 2(a + -4) + -11 (2 * 8 + a * 8) + 3 = 2(a + -4) + -11 (16 + 8a) + 3 = 2(a + -4) + -11 Reorder the terms: 16 + 3 + 8a = 2(a + -4) + -11 Combine like terms: 16 + 3 = 19 19 + 8a = 2(a + -4) + -11 Reorder the terms: 19 + 8a = 2(-4 + a) + -11 19 + 8a = (-4 * 2 + a * 2) + -11 19 + 8a = (-8 + 2a) + -11 Reorder the terms: 19 + 8a = -8 + -11 + 2a Combine like terms: -8 + -11 = -19 19 + 8a = -19 + 2a Solving 19 + 8a = -19 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 19 + 8a + -2a = -19 + 2a + -2a Combine like terms: 8a + -2a = 6a 19 + 6a = -19 + 2a + -2a Combine like terms: 2a + -2a = 0 19 + 6a = -19 + 0 19 + 6a = -19 Add '-19' to each side of the equation. 19 + -19 + 6a = -19 + -19 Combine like terms: 19 + -19 = 0 0 + 6a = -19 + -19 6a = -19 + -19 Combine like terms: -19 + -19 = -38 6a = -38 Divide each side by '6'. a = -6.333333333 Simplifying a = -6.333333333
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