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Simplifying 4(29 + 3) = -3(a + -1) + 31 Combine like terms: 29 + 3 = 32 4(32) = -3(a + -1) + 31 Multiply 4 * 32 128 = -3(a + -1) + 31 Reorder the terms: 128 = -3(-1 + a) + 31 128 = (-1 * -3 + a * -3) + 31 128 = (3 + -3a) + 31 Reorder the terms: 128 = 3 + 31 + -3a Combine like terms: 3 + 31 = 34 128 = 34 + -3a Solving 128 = 34 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 128 + 3a = 34 + -3a + 3a Combine like terms: -3a + 3a = 0 128 + 3a = 34 + 0 128 + 3a = 34 Add '-128' to each side of the equation. 128 + -128 + 3a = 34 + -128 Combine like terms: 128 + -128 = 0 0 + 3a = 34 + -128 3a = 34 + -128 Combine like terms: 34 + -128 = -94 3a = -94 Divide each side by '3'. a = -31.33333333 Simplifying a = -31.33333333
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