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Simplifying 2.85a + -7 = 12.85a + -2 Reorder the terms: -7 + 2.85a = 12.85a + -2 Reorder the terms: -7 + 2.85a = -2 + 12.85a Solving -7 + 2.85a = -2 + 12.85a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12.85a' to each side of the equation. -7 + 2.85a + -12.85a = -2 + 12.85a + -12.85a Combine like terms: 2.85a + -12.85a = -10a -7 + -10a = -2 + 12.85a + -12.85a Combine like terms: 12.85a + -12.85a = 0.00 -7 + -10a = -2 + 0.00 -7 + -10a = -2 Add '7' to each side of the equation. -7 + 7 + -10a = -2 + 7 Combine like terms: -7 + 7 = 0 0 + -10a = -2 + 7 -10a = -2 + 7 Combine like terms: -2 + 7 = 5 -10a = 5 Divide each side by '-10'. a = -0.5 Simplifying a = -0.5
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