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Simplifying 3 + -4(3 + -4a) = -47 3 + (3 * -4 + -4a * -4) = -47 3 + (-12 + 16a) = -47 Combine like terms: 3 + -12 = -9 -9 + 16a = -47 Solving -9 + 16a = -47 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 16a = -47 + 9 Combine like terms: -9 + 9 = 0 0 + 16a = -47 + 9 16a = -47 + 9 Combine like terms: -47 + 9 = -38 16a = -38 Divide each side by '16'. a = -2.375 Simplifying a = -2.375
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