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Simplifying -5a + 4 = 34 + -1(a + 2) Reorder the terms: 4 + -5a = 34 + -1(a + 2) Reorder the terms: 4 + -5a = 34 + -1(2 + a) 4 + -5a = 34 + (2 * -1 + a * -1) 4 + -5a = 34 + (-2 + -1a) Combine like terms: 34 + -2 = 32 4 + -5a = 32 + -1a Solving 4 + -5a = 32 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 4 + -5a + a = 32 + -1a + a Combine like terms: -5a + a = -4a 4 + -4a = 32 + -1a + a Combine like terms: -1a + a = 0 4 + -4a = 32 + 0 4 + -4a = 32 Add '-4' to each side of the equation. 4 + -4 + -4a = 32 + -4 Combine like terms: 4 + -4 = 0 0 + -4a = 32 + -4 -4a = 32 + -4 Combine like terms: 32 + -4 = 28 -4a = 28 Divide each side by '-4'. a = -7 Simplifying a = -7
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