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Simplifying 0.12a + 6 + -0.7a = 0.32a + -0.3 Reorder the terms: 6 + 0.12a + -0.7a = 0.32a + -0.3 Combine like terms: 0.12a + -0.7a = -0.58a 6 + -0.58a = 0.32a + -0.3 Reorder the terms: 6 + -0.58a = -0.3 + 0.32a Solving 6 + -0.58a = -0.3 + 0.32a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.32a' to each side of the equation. 6 + -0.58a + -0.32a = -0.3 + 0.32a + -0.32a Combine like terms: -0.58a + -0.32a = -0.9a 6 + -0.9a = -0.3 + 0.32a + -0.32a Combine like terms: 0.32a + -0.32a = 0.00 6 + -0.9a = -0.3 + 0.00 6 + -0.9a = -0.3 Add '-6' to each side of the equation. 6 + -6 + -0.9a = -0.3 + -6 Combine like terms: 6 + -6 = 0 0 + -0.9a = -0.3 + -6 -0.9a = -0.3 + -6 Combine like terms: -0.3 + -6 = -6.3 -0.9a = -6.3 Divide each side by '-0.9'. a = 7 Simplifying a = 7
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