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Simplifying 5 + 3(a + -4) = 2(a + 1) Reorder the terms: 5 + 3(-4 + a) = 2(a + 1) 5 + (-4 * 3 + a * 3) = 2(a + 1) 5 + (-12 + 3a) = 2(a + 1) Combine like terms: 5 + -12 = -7 -7 + 3a = 2(a + 1) Reorder the terms: -7 + 3a = 2(1 + a) -7 + 3a = (1 * 2 + a * 2) -7 + 3a = (2 + 2a) Solving -7 + 3a = 2 + 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. -7 + 3a + -2a = 2 + 2a + -2a Combine like terms: 3a + -2a = 1a -7 + 1a = 2 + 2a + -2a Combine like terms: 2a + -2a = 0 -7 + 1a = 2 + 0 -7 + 1a = 2 Add '7' to each side of the equation. -7 + 7 + 1a = 2 + 7 Combine like terms: -7 + 7 = 0 0 + 1a = 2 + 7 1a = 2 + 7 Combine like terms: 2 + 7 = 9 1a = 9 Divide each side by '1'. a = 9 Simplifying a = 9
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