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Simplifying 2.85a + -7 = 12.58a + -2 Reorder the terms: -7 + 2.85a = 12.58a + -2 Reorder the terms: -7 + 2.85a = -2 + 12.58a Solving -7 + 2.85a = -2 + 12.58a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12.58a' to each side of the equation. -7 + 2.85a + -12.58a = -2 + 12.58a + -12.58a Combine like terms: 2.85a + -12.58a = -9.73a -7 + -9.73a = -2 + 12.58a + -12.58a Combine like terms: 12.58a + -12.58a = 0.00 -7 + -9.73a = -2 + 0.00 -7 + -9.73a = -2 Add '7' to each side of the equation. -7 + 7 + -9.73a = -2 + 7 Combine like terms: -7 + 7 = 0 0 + -9.73a = -2 + 7 -9.73a = -2 + 7 Combine like terms: -2 + 7 = 5 -9.73a = 5 Divide each side by '-9.73'. a = -0.5138746146 Simplifying a = -0.5138746146
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