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Simplifying 32 + -7a = -7(a + -4) + -4a Reorder the terms: 32 + -7a = -7(-4 + a) + -4a 32 + -7a = (-4 * -7 + a * -7) + -4a 32 + -7a = (28 + -7a) + -4a Combine like terms: -7a + -4a = -11a 32 + -7a = 28 + -11a Solving 32 + -7a = 28 + -11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '11a' to each side of the equation. 32 + -7a + 11a = 28 + -11a + 11a Combine like terms: -7a + 11a = 4a 32 + 4a = 28 + -11a + 11a Combine like terms: -11a + 11a = 0 32 + 4a = 28 + 0 32 + 4a = 28 Add '-32' to each side of the equation. 32 + -32 + 4a = 28 + -32 Combine like terms: 32 + -32 = 0 0 + 4a = 28 + -32 4a = 28 + -32 Combine like terms: 28 + -32 = -4 4a = -4 Divide each side by '4'. a = -1 Simplifying a = -1
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