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Simplifying -41 = 6(8 + 3a) + -1(a + 4) -41 = (8 * 6 + 3a * 6) + -1(a + 4) -41 = (48 + 18a) + -1(a + 4) Reorder the terms: -41 = 48 + 18a + -1(4 + a) -41 = 48 + 18a + (4 * -1 + a * -1) -41 = 48 + 18a + (-4 + -1a) Reorder the terms: -41 = 48 + -4 + 18a + -1a Combine like terms: 48 + -4 = 44 -41 = 44 + 18a + -1a Combine like terms: 18a + -1a = 17a -41 = 44 + 17a Solving -41 = 44 + 17a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17a' to each side of the equation. -41 + -17a = 44 + 17a + -17a Combine like terms: 17a + -17a = 0 -41 + -17a = 44 + 0 -41 + -17a = 44 Add '41' to each side of the equation. -41 + 41 + -17a = 44 + 41 Combine like terms: -41 + 41 = 0 0 + -17a = 44 + 41 -17a = 44 + 41 Combine like terms: 44 + 41 = 85 -17a = 85 Divide each side by '-17'. a = -5 Simplifying a = -5
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