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Simplifying 6 + -1a = 0.3(9a + -18) Reorder the terms: 6 + -1a = 0.3(-18 + 9a) 6 + -1a = (-18 * 0.3 + 9a * 0.3) 6 + -1a = (-5.4 + 2.7a) Solving 6 + -1a = -5.4 + 2.7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2.7a' to each side of the equation. 6 + -1a + -2.7a = -5.4 + 2.7a + -2.7a Combine like terms: -1a + -2.7a = -3.7a 6 + -3.7a = -5.4 + 2.7a + -2.7a Combine like terms: 2.7a + -2.7a = 0.0 6 + -3.7a = -5.4 + 0.0 6 + -3.7a = -5.4 Add '-6' to each side of the equation. 6 + -6 + -3.7a = -5.4 + -6 Combine like terms: 6 + -6 = 0 0 + -3.7a = -5.4 + -6 -3.7a = -5.4 + -6 Combine like terms: -5.4 + -6 = -11.4 -3.7a = -11.4 Divide each side by '-3.7'. a = 3.081081081 Simplifying a = 3.081081081
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