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Simplifying [21 + -3a] = 6 + -1a Remove brackets around [21 + -3a] 21 + -3a = 6 + -1a Solving 21 + -3a = 6 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 21 + -3a + a = 6 + -1a + a Combine like terms: -3a + a = -2a 21 + -2a = 6 + -1a + a Combine like terms: -1a + a = 0 21 + -2a = 6 + 0 21 + -2a = 6 Add '-21' to each side of the equation. 21 + -21 + -2a = 6 + -21 Combine like terms: 21 + -21 = 0 0 + -2a = 6 + -21 -2a = 6 + -21 Combine like terms: 6 + -21 = -15 -2a = -15 Divide each side by '-2'. a = 7.5 Simplifying a = 7.5
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