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Simplifying 7(a + -4) + -2a = 1a + 3(a + 3) Reorder the terms: 7(-4 + a) + -2a = 1a + 3(a + 3) (-4 * 7 + a * 7) + -2a = 1a + 3(a + 3) (-28 + 7a) + -2a = 1a + 3(a + 3) Combine like terms: 7a + -2a = 5a -28 + 5a = 1a + 3(a + 3) Reorder the terms: -28 + 5a = 1a + 3(3 + a) -28 + 5a = 1a + (3 * 3 + a * 3) -28 + 5a = 1a + (9 + 3a) Reorder the terms: -28 + 5a = 9 + 1a + 3a Combine like terms: 1a + 3a = 4a -28 + 5a = 9 + 4a Solving -28 + 5a = 9 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -28 + 5a + -4a = 9 + 4a + -4a Combine like terms: 5a + -4a = 1a -28 + 1a = 9 + 4a + -4a Combine like terms: 4a + -4a = 0 -28 + 1a = 9 + 0 -28 + 1a = 9 Add '28' to each side of the equation. -28 + 28 + 1a = 9 + 28 Combine like terms: -28 + 28 = 0 0 + 1a = 9 + 28 1a = 9 + 28 Combine like terms: 9 + 28 = 37 1a = 37 Divide each side by '1'. a = 37 Simplifying a = 37
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