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Simplifying -3(a + -5) + 6 = 11 + -2(a + 1) + 4 Reorder the terms: -3(-5 + a) + 6 = 11 + -2(a + 1) + 4 (-5 * -3 + a * -3) + 6 = 11 + -2(a + 1) + 4 (15 + -3a) + 6 = 11 + -2(a + 1) + 4 Reorder the terms: 15 + 6 + -3a = 11 + -2(a + 1) + 4 Combine like terms: 15 + 6 = 21 21 + -3a = 11 + -2(a + 1) + 4 Reorder the terms: 21 + -3a = 11 + -2(1 + a) + 4 21 + -3a = 11 + (1 * -2 + a * -2) + 4 21 + -3a = 11 + (-2 + -2a) + 4 Reorder the terms: 21 + -3a = 11 + -2 + 4 + -2a Combine like terms: 11 + -2 = 9 21 + -3a = 9 + 4 + -2a Combine like terms: 9 + 4 = 13 21 + -3a = 13 + -2a Solving 21 + -3a = 13 + -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. 21 + -3a + 2a = 13 + -2a + 2a Combine like terms: -3a + 2a = -1a 21 + -1a = 13 + -2a + 2a Combine like terms: -2a + 2a = 0 21 + -1a = 13 + 0 21 + -1a = 13 Add '-21' to each side of the equation. 21 + -21 + -1a = 13 + -21 Combine like terms: 21 + -21 = 0 0 + -1a = 13 + -21 -1a = 13 + -21 Combine like terms: 13 + -21 = -8 -1a = -8 Divide each side by '-1'. a = 8 Simplifying a = 8
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