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Simplifying 5a + -4(3a + 7) = -21 Reorder the terms: 5a + -4(7 + 3a) = -21 5a + (7 * -4 + 3a * -4) = -21 5a + (-28 + -12a) = -21 Reorder the terms: -28 + 5a + -12a = -21 Combine like terms: 5a + -12a = -7a -28 + -7a = -21 Solving -28 + -7a = -21 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 = -21 + 28 Combine like terms: -28 + 28 = 0 0 + -7a = -21 + 28 -7a = -21 + 28 Combine like terms: -21 + 28 = 7 -7a = 7 Divide each side by '-7'. a = -1 Simplifying a = -1
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