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Simplifying 3(a + 1) + -5 = 2a + -7 Reorder the terms: 3(1 + a) + -5 = 2a + -7 (1 * 3 + a * 3) + -5 = 2a + -7 (3 + 3a) + -5 = 2a + -7 Reorder the terms: 3 + -5 + 3a = 2a + -7 Combine like terms: 3 + -5 = -2 -2 + 3a = 2a + -7 Reorder the terms: -2 + 3a = -7 + 2a Solving -2 + 3a = -7 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -2 + 3a + -2a = -7 + 2a + -2a Combine like terms: 3a + -2a = 1a -2 + 1a = -7 + 2a + -2a Combine like terms: 2a + -2a = 0 -2 + 1a = -7 + 0 -2 + 1a = -7 Add '2' to each side of the equation. -2 + 2 + 1a = -7 + 2 Combine like terms: -2 + 2 = 0 0 + 1a = -7 + 2 1a = -7 + 2 Combine like terms: -7 + 2 = -5 1a = -5 Divide each side by '1'. a = -5 Simplifying a = -5
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