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Simplifying 7a + -0.42 = 9a + -0.56 Reorder the terms: -0.42 + 7a = 9a + -0.56 Reorder the terms: -0.42 + 7a = -0.56 + 9a Solving -0.42 + 7a = -0.56 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. -0.42 + 7a + -9a = -0.56 + 9a + -9a Combine like terms: 7a + -9a = -2a -0.42 + -2a = -0.56 + 9a + -9a Combine like terms: 9a + -9a = 0 -0.42 + -2a = -0.56 + 0 -0.42 + -2a = -0.56 Add '0.42' to each side of the equation. -0.42 + 0.42 + -2a = -0.56 + 0.42 Combine like terms: -0.42 + 0.42 = 0.00 0.00 + -2a = -0.56 + 0.42 -2a = -0.56 + 0.42 Combine like terms: -0.56 + 0.42 = -0.14 -2a = -0.14 Divide each side by '-2'. a = 0.07 Simplifying a = 0.07
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