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Simplifying 1.6a + -6.4 + -0.6 = 1.2a + -21 Reorder the terms: -6.4 + -0.6 + 1.6a = 1.2a + -21 Combine like terms: -6.4 + -0.6 = -7 -7 + 1.6a = 1.2a + -21 Reorder the terms: -7 + 1.6a = -21 + 1.2a Solving -7 + 1.6a = -21 + 1.2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1.2a' to each side of the equation. -7 + 1.6a + -1.2a = -21 + 1.2a + -1.2a Combine like terms: 1.6a + -1.2a = 0.4a -7 + 0.4a = -21 + 1.2a + -1.2a Combine like terms: 1.2a + -1.2a = 0.0 -7 + 0.4a = -21 + 0.0 -7 + 0.4a = -21 Add '7' to each side of the equation. -7 + 7 + 0.4a = -21 + 7 Combine like terms: -7 + 7 = 0 0 + 0.4a = -21 + 7 0.4a = -21 + 7 Combine like terms: -21 + 7 = -14 0.4a = -14 Divide each side by '0.4'. a = -35 Simplifying a = -35
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