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Simplifying 3(16) + -1(3a + 2)(4) + 7 = 0 Multiply 3 * 16 48 + -1(3a + 2)(4) + 7 = 0 Reorder the terms: 48 + -1(2 + 3a)(4) + 7 = 0 Reorder the terms for easier multiplication: 48 + -1 * 4(2 + 3a) + 7 = 0 Multiply -1 * 4 48 + -4(2 + 3a) + 7 = 0 48 + (2 * -4 + 3a * -4) + 7 = 0 48 + (-8 + -12a) + 7 = 0 Reorder the terms: 48 + -8 + 7 + -12a = 0 Combine like terms: 48 + -8 = 40 40 + 7 + -12a = 0 Combine like terms: 40 + 7 = 47 47 + -12a = 0 Solving 47 + -12a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + -12a = 0 + -47 Combine like terms: 47 + -47 = 0 0 + -12a = 0 + -47 -12a = 0 + -47 Combine like terms: 0 + -47 = -47 -12a = -47 Divide each side by '-12'. a = 3.916666667 Simplifying a = 3.916666667
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