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Simplifying a + -15 = 3(a + 1) + 2 Reorder the terms: -15 + a = 3(a + 1) + 2 Reorder the terms: -15 + a = 3(1 + a) + 2 -15 + a = (1 * 3 + a * 3) + 2 -15 + a = (3 + 3a) + 2 Reorder the terms: -15 + a = 3 + 2 + 3a Combine like terms: 3 + 2 = 5 -15 + a = 5 + 3a Solving -15 + a = 5 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -15 + a + -3a = 5 + 3a + -3a Combine like terms: a + -3a = -2a -15 + -2a = 5 + 3a + -3a Combine like terms: 3a + -3a = 0 -15 + -2a = 5 + 0 -15 + -2a = 5 Add '15' to each side of the equation. -15 + 15 + -2a = 5 + 15 Combine like terms: -15 + 15 = 0 0 + -2a = 5 + 15 -2a = 5 + 15 Combine like terms: 5 + 15 = 20 -2a = 20 Divide each side by '-2'. a = -10 Simplifying a = -10
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