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Simplifying (a + 5) + -3(a + 2) = (a + -1) + -4 Reorder the terms: (5 + a) + -3(a + 2) = (a + -1) + -4 Remove parenthesis around (5 + a) 5 + a + -3(a + 2) = (a + -1) + -4 Reorder the terms: 5 + a + -3(2 + a) = (a + -1) + -4 5 + a + (2 * -3 + a * -3) = (a + -1) + -4 5 + a + (-6 + -3a) = (a + -1) + -4 Reorder the terms: 5 + -6 + a + -3a = (a + -1) + -4 Combine like terms: 5 + -6 = -1 -1 + a + -3a = (a + -1) + -4 Combine like terms: a + -3a = -2a -1 + -2a = (a + -1) + -4 Reorder the terms: -1 + -2a = (-1 + a) + -4 Remove parenthesis around (-1 + a) -1 + -2a = -1 + a + -4 Reorder the terms: -1 + -2a = -1 + -4 + a Combine like terms: -1 + -4 = -5 -1 + -2a = -5 + a Solving -1 + -2a = -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. -1 + -2a + -1a = -5 + a + -1a Combine like terms: -2a + -1a = -3a -1 + -3a = -5 + a + -1a Combine like terms: a + -1a = 0 -1 + -3a = -5 + 0 -1 + -3a = -5 Add '1' to each side of the equation. -1 + 1 + -3a = -5 + 1 Combine like terms: -1 + 1 = 0 0 + -3a = -5 + 1 -3a = -5 + 1 Combine like terms: -5 + 1 = -4 -3a = -4 Divide each side by '-3'. a = 1.333333333 Simplifying a = 1.333333333
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