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Simplifying 3(a + -4) + 3(a + 1) = 10 + -5a Reorder the terms: 3(-4 + a) + 3(a + 1) = 10 + -5a (-4 * 3 + a * 3) + 3(a + 1) = 10 + -5a (-12 + 3a) + 3(a + 1) = 10 + -5a Reorder the terms: -12 + 3a + 3(1 + a) = 10 + -5a -12 + 3a + (1 * 3 + a * 3) = 10 + -5a -12 + 3a + (3 + 3a) = 10 + -5a Reorder the terms: -12 + 3 + 3a + 3a = 10 + -5a Combine like terms: -12 + 3 = -9 -9 + 3a + 3a = 10 + -5a Combine like terms: 3a + 3a = 6a -9 + 6a = 10 + -5a Solving -9 + 6a = 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. -9 + 6a + 5a = 10 + -5a + 5a Combine like terms: 6a + 5a = 11a -9 + 11a = 10 + -5a + 5a Combine like terms: -5a + 5a = 0 -9 + 11a = 10 + 0 -9 + 11a = 10 Add '9' to each side of the equation. -9 + 9 + 11a = 10 + 9 Combine like terms: -9 + 9 = 0 0 + 11a = 10 + 9 11a = 10 + 9 Combine like terms: 10 + 9 = 19 11a = 19 Divide each side by '11'. a = 1.727272727 Simplifying a = 1.727272727
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