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Simplifying 3(a + -4) + 5 = a + 3 Reorder the terms: 3(-4 + a) + 5 = a + 3 (-4 * 3 + a * 3) + 5 = a + 3 (-12 + 3a) + 5 = a + 3 Reorder the terms: -12 + 5 + 3a = a + 3 Combine like terms: -12 + 5 = -7 -7 + 3a = a + 3 Reorder the terms: -7 + 3a = 3 + a Solving -7 + 3a = 3 + 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. -7 + 3a + -1a = 3 + a + -1a Combine like terms: 3a + -1a = 2a -7 + 2a = 3 + a + -1a Combine like terms: a + -1a = 0 -7 + 2a = 3 + 0 -7 + 2a = 3 Add '7' to each side of the equation. -7 + 7 + 2a = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 2a = 3 + 7 2a = 3 + 7 Combine like terms: 3 + 7 = 10 2a = 10 Divide each side by '2'. a = 5 Simplifying a = 5
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