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Simplifying 5a + -4(3a + 7) = 47 Reorder the terms: 5a + -4(7 + 3a) = 47 5a + (7 * -4 + 3a * -4) = 47 5a + (-28 + -12a) = 47 Reorder the terms: -28 + 5a + -12a = 47 Combine like terms: 5a + -12a = -7a -28 + -7a = 47 Solving -28 + -7a = 47 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -7a = 47 + 28 Combine like terms: -28 + 28 = 0 0 + -7a = 47 + 28 -7a = 47 + 28 Combine like terms: 47 + 28 = 75 -7a = 75 Divide each side by '-7'. a = -10.71428571 Simplifying a = -10.71428571
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