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Simplifying 1 + -3(a + -5) = a + 3 Reorder the terms: 1 + -3(-5 + a) = a + 3 1 + (-5 * -3 + a * -3) = a + 3 1 + (15 + -3a) = a + 3 Combine like terms: 1 + 15 = 16 16 + -3a = a + 3 Reorder the terms: 16 + -3a = 3 + a Solving 16 + -3a = 3 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 16 + -3a + -1a = 3 + a + -1a Combine like terms: -3a + -1a = -4a 16 + -4a = 3 + a + -1a Combine like terms: a + -1a = 0 16 + -4a = 3 + 0 16 + -4a = 3 Add '-16' to each side of the equation. 16 + -16 + -4a = 3 + -16 Combine like terms: 16 + -16 = 0 0 + -4a = 3 + -16 -4a = 3 + -16 Combine like terms: 3 + -16 = -13 -4a = -13 Divide each side by '-4'. a = 3.25 Simplifying a = 3.25
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