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