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Simplifying 3(a + -4) + (a + 1) = 10 + -5a Reorder the terms: 3(-4 + a) + (a + 1) = 10 + -5a (-4 * 3 + a * 3) + (a + 1) = 10 + -5a (-12 + 3a) + (a + 1) = 10 + -5a Reorder the terms: -12 + 3a + (1 + a) = 10 + -5a Remove parenthesis around (1 + a) -12 + 3a + 1 + a = 10 + -5a Reorder the terms: -12 + 1 + 3a + a = 10 + -5a Combine like terms: -12 + 1 = -11 -11 + 3a + a = 10 + -5a Combine like terms: 3a + a = 4a -11 + 4a = 10 + -5a Solving -11 + 4a = 10 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. -11 + 4a + 5a = 10 + -5a + 5a Combine like terms: 4a + 5a = 9a -11 + 9a = 10 + -5a + 5a Combine like terms: -5a + 5a = 0 -11 + 9a = 10 + 0 -11 + 9a = 10 Add '11' to each side of the equation. -11 + 11 + 9a = 10 + 11 Combine like terms: -11 + 11 = 0 0 + 9a = 10 + 11 9a = 10 + 11 Combine like terms: 10 + 11 = 21 9a = 21 Divide each side by '9'. a = 2.333333333 Simplifying a = 2.333333333
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