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Simplifying 0.33(21 + -3a) = 6 + -1a (21 * 0.33 + -3a * 0.33) = 6 + -1a (6.93 + -0.99a) = 6 + -1a Solving 6.93 + -0.99a = 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. 6.93 + -0.99a + a = 6 + -1a + a Combine like terms: -0.99a + a = 0.01a 6.93 + 0.01a = 6 + -1a + a Combine like terms: -1a + a = 0 6.93 + 0.01a = 6 + 0 6.93 + 0.01a = 6 Add '-6.93' to each side of the equation. 6.93 + -6.93 + 0.01a = 6 + -6.93 Combine like terms: 6.93 + -6.93 = 0.00 0.00 + 0.01a = 6 + -6.93 0.01a = 6 + -6.93 Combine like terms: 6 + -6.93 = -0.93 0.01a = -0.93 Divide each side by '0.01'. a = -93 Simplifying a = -93
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