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Simplifying -32 + 5a = -8(a + 6) + 3 Reorder the terms: -32 + 5a = -8(6 + a) + 3 -32 + 5a = (6 * -8 + a * -8) + 3 -32 + 5a = (-48 + -8a) + 3 Reorder the terms: -32 + 5a = -48 + 3 + -8a Combine like terms: -48 + 3 = -45 -32 + 5a = -45 + -8a Solving -32 + 5a = -45 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. -32 + 5a + 8a = -45 + -8a + 8a Combine like terms: 5a + 8a = 13a -32 + 13a = -45 + -8a + 8a Combine like terms: -8a + 8a = 0 -32 + 13a = -45 + 0 -32 + 13a = -45 Add '32' to each side of the equation. -32 + 32 + 13a = -45 + 32 Combine like terms: -32 + 32 = 0 0 + 13a = -45 + 32 13a = -45 + 32 Combine like terms: -45 + 32 = -13 13a = -13 Divide each side by '13'. a = -1 Simplifying a = -1
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