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Simplifying 7(a + -4) + -2a = 19 + (a + 3) Reorder the terms: 7(-4 + a) + -2a = 19 + (a + 3) (-4 * 7 + a * 7) + -2a = 19 + (a + 3) (-28 + 7a) + -2a = 19 + (a + 3) Combine like terms: 7a + -2a = 5a -28 + 5a = 19 + (a + 3) Reorder the terms: -28 + 5a = 19 + (3 + a) Remove parenthesis around (3 + a) -28 + 5a = 19 + 3 + a Combine like terms: 19 + 3 = 22 -28 + 5a = 22 + a Solving -28 + 5a = 22 + 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. -28 + 5a + -1a = 22 + a + -1a Combine like terms: 5a + -1a = 4a -28 + 4a = 22 + a + -1a Combine like terms: a + -1a = 0 -28 + 4a = 22 + 0 -28 + 4a = 22 Add '28' to each side of the equation. -28 + 28 + 4a = 22 + 28 Combine like terms: -28 + 28 = 0 0 + 4a = 22 + 28 4a = 22 + 28 Combine like terms: 22 + 28 = 50 4a = 50 Divide each side by '4'. a = 12.5 Simplifying a = 12.5
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