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Simplifying 4(a + -3) + 2 = (a + -5) Reorder the terms: 4(-3 + a) + 2 = (a + -5) (-3 * 4 + a * 4) + 2 = (a + -5) (-12 + 4a) + 2 = (a + -5) Reorder the terms: -12 + 2 + 4a = (a + -5) Combine like terms: -12 + 2 = -10 -10 + 4a = (a + -5) Reorder the terms: -10 + 4a = (-5 + a) Remove parenthesis around (-5 + a) -10 + 4a = -5 + a Solving -10 + 4a = -5 + 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. -10 + 4a + -1a = -5 + a + -1a Combine like terms: 4a + -1a = 3a -10 + 3a = -5 + a + -1a Combine like terms: a + -1a = 0 -10 + 3a = -5 + 0 -10 + 3a = -5 Add '10' to each side of the equation. -10 + 10 + 3a = -5 + 10 Combine like terms: -10 + 10 = 0 0 + 3a = -5 + 10 3a = -5 + 10 Combine like terms: -5 + 10 = 5 3a = 5 Divide each side by '3'. a = 1.666666667 Simplifying a = 1.666666667
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