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Simplifying 4(a + -3) + -2(3a + -1) = -5 Reorder the terms: 4(-3 + a) + -2(3a + -1) = -5 (-3 * 4 + a * 4) + -2(3a + -1) = -5 (-12 + 4a) + -2(3a + -1) = -5 Reorder the terms: -12 + 4a + -2(-1 + 3a) = -5 -12 + 4a + (-1 * -2 + 3a * -2) = -5 -12 + 4a + (2 + -6a) = -5 Reorder the terms: -12 + 2 + 4a + -6a = -5 Combine like terms: -12 + 2 = -10 -10 + 4a + -6a = -5 Combine like terms: 4a + -6a = -2a -10 + -2a = -5 Solving -10 + -2a = -5 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -2a = -5 + 10 Combine like terms: -10 + 10 = 0 0 + -2a = -5 + 10 -2a = -5 + 10 Combine like terms: -5 + 10 = 5 -2a = 5 Divide each side by '-2'. a = -2.5 Simplifying a = -2.5
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