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Simplifying 32 + -2a = 6(7a + -8) + -8 Reorder the terms: 32 + -2a = 6(-8 + 7a) + -8 32 + -2a = (-8 * 6 + 7a * 6) + -8 32 + -2a = (-48 + 42a) + -8 Reorder the terms: 32 + -2a = -48 + -8 + 42a Combine like terms: -48 + -8 = -56 32 + -2a = -56 + 42a Solving 32 + -2a = -56 + 42a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-42a' to each side of the equation. 32 + -2a + -42a = -56 + 42a + -42a Combine like terms: -2a + -42a = -44a 32 + -44a = -56 + 42a + -42a Combine like terms: 42a + -42a = 0 32 + -44a = -56 + 0 32 + -44a = -56 Add '-32' to each side of the equation. 32 + -32 + -44a = -56 + -32 Combine like terms: 32 + -32 = 0 0 + -44a = -56 + -32 -44a = -56 + -32 Combine like terms: -56 + -32 = -88 -44a = -88 Divide each side by '-44'. a = 2 Simplifying a = 2
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