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Simplifying 41 + -1a = 3(a + -5) Reorder the terms: 41 + -1a = 3(-5 + a) 41 + -1a = (-5 * 3 + a * 3) 41 + -1a = (-15 + 3a) Solving 41 + -1a = -15 + 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. 41 + -1a + -3a = -15 + 3a + -3a Combine like terms: -1a + -3a = -4a 41 + -4a = -15 + 3a + -3a Combine like terms: 3a + -3a = 0 41 + -4a = -15 + 0 41 + -4a = -15 Add '-41' to each side of the equation. 41 + -41 + -4a = -15 + -41 Combine like terms: 41 + -41 = 0 0 + -4a = -15 + -41 -4a = -15 + -41 Combine like terms: -15 + -41 = -56 -4a = -56 Divide each side by '-4'. a = 14 Simplifying a = 14
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