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Simplifying 32 = 2a + -1(-14) + 7a Multiply -1 * -14 32 = 2a + 14 + 7a Reorder the terms: 32 = 14 + 2a + 7a Combine like terms: 2a + 7a = 9a 32 = 14 + 9a Solving 32 = 14 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 32 + -9a = 14 + 9a + -9a Combine like terms: 9a + -9a = 0 32 + -9a = 14 + 0 32 + -9a = 14 Add '-32' to each side of the equation. 32 + -32 + -9a = 14 + -32 Combine like terms: 32 + -32 = 0 0 + -9a = 14 + -32 -9a = 14 + -32 Combine like terms: 14 + -32 = -18 -9a = -18 Divide each side by '-9'. a = 2 Simplifying a = 2
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