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Simplifying 32 + 7a = 6(4a + -6) Reorder the terms: 32 + 7a = 6(-6 + 4a) 32 + 7a = (-6 * 6 + 4a * 6) 32 + 7a = (-36 + 24a) Solving 32 + 7a = -36 + 24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24a' to each side of the equation. 32 + 7a + -24a = -36 + 24a + -24a Combine like terms: 7a + -24a = -17a 32 + -17a = -36 + 24a + -24a Combine like terms: 24a + -24a = 0 32 + -17a = -36 + 0 32 + -17a = -36 Add '-32' to each side of the equation. 32 + -32 + -17a = -36 + -32 Combine like terms: 32 + -32 = 0 0 + -17a = -36 + -32 -17a = -36 + -32 Combine like terms: -36 + -32 = -68 -17a = -68 Divide each side by '-17'. a = 4 Simplifying a = 4
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