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Simplifying 4a + -7(a + 8) = -47 Reorder the terms: 4a + -7(8 + a) = -47 4a + (8 * -7 + a * -7) = -47 4a + (-56 + -7a) = -47 Reorder the terms: -56 + 4a + -7a = -47 Combine like terms: 4a + -7a = -3a -56 + -3a = -47 Solving -56 + -3a = -47 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + -3a = -47 + 56 Combine like terms: -56 + 56 = 0 0 + -3a = -47 + 56 -3a = -47 + 56 Combine like terms: -47 + 56 = 9 -3a = 9 Divide each side by '-3'. a = -3 Simplifying a = -3
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