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Simplifying 7(a + -2) + -4(a + 7) = 177 Reorder the terms: 7(-2 + a) + -4(a + 7) = 177 (-2 * 7 + a * 7) + -4(a + 7) = 177 (-14 + 7a) + -4(a + 7) = 177 Reorder the terms: -14 + 7a + -4(7 + a) = 177 -14 + 7a + (7 * -4 + a * -4) = 177 -14 + 7a + (-28 + -4a) = 177 Reorder the terms: -14 + -28 + 7a + -4a = 177 Combine like terms: -14 + -28 = -42 -42 + 7a + -4a = 177 Combine like terms: 7a + -4a = 3a -42 + 3a = 177 Solving -42 + 3a = 177 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 3a = 177 + 42 Combine like terms: -42 + 42 = 0 0 + 3a = 177 + 42 3a = 177 + 42 Combine like terms: 177 + 42 = 219 3a = 219 Divide each side by '3'. a = 73 Simplifying a = 73
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