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Simplifying 1[3(5 + a) + -2] = a + 5 1[(5 * 3 + a * 3) + -2] = a + 5 1[(15 + 3a) + -2] = a + 5 Reorder the terms: 1[15 + -2 + 3a] = a + 5 Combine like terms: 15 + -2 = 13 1[13 + 3a] = a + 5 [13 * 1 + 3a * 1] = a + 5 [13 + 3a] = a + 5 Reorder the terms: 13 + 3a = 5 + a Solving 13 + 3a = 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. 13 + 3a + -1a = 5 + a + -1a Combine like terms: 3a + -1a = 2a 13 + 2a = 5 + a + -1a Combine like terms: a + -1a = 0 13 + 2a = 5 + 0 13 + 2a = 5 Add '-13' to each side of the equation. 13 + -13 + 2a = 5 + -13 Combine like terms: 13 + -13 = 0 0 + 2a = 5 + -13 2a = 5 + -13 Combine like terms: 5 + -13 = -8 2a = -8 Divide each side by '2'. a = -4 Simplifying a = -4
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