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Simplifying a + -3 = 21 + 8 + a + -3a Reorder the terms: -3 + a = 21 + 8 + a + -3a Combine like terms: 21 + 8 = 29 -3 + a = 29 + a + -3a Combine like terms: a + -3a = -2a -3 + a = 29 + -2a Solving -3 + a = 29 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. -3 + a + 2a = 29 + -2a + 2a Combine like terms: a + 2a = 3a -3 + 3a = 29 + -2a + 2a Combine like terms: -2a + 2a = 0 -3 + 3a = 29 + 0 -3 + 3a = 29 Add '3' to each side of the equation. -3 + 3 + 3a = 29 + 3 Combine like terms: -3 + 3 = 0 0 + 3a = 29 + 3 3a = 29 + 3 Combine like terms: 29 + 3 = 32 3a = 32 Divide each side by '3'. a = 10.66666667 Simplifying a = 10.66666667
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