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Simplifying -1.75 = 8.5a + 1.5a + -2.25 Reorder the terms: -1.75 = -2.25 + 8.5a + 1.5a Combine like terms: 8.5a + 1.5a = 10a -1.75 = -2.25 + 10a Solving -1.75 = -2.25 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -1.75 + -10a = -2.25 + 10a + -10a Combine like terms: 10a + -10a = 0 -1.75 + -10a = -2.25 + 0 -1.75 + -10a = -2.25 Add '1.75' to each side of the equation. -1.75 + 1.75 + -10a = -2.25 + 1.75 Combine like terms: -1.75 + 1.75 = 0.00 0.00 + -10a = -2.25 + 1.75 -10a = -2.25 + 1.75 Combine like terms: -2.25 + 1.75 = -0.5 -10a = -0.5 Divide each side by '-10'. a = 0.05 Simplifying a = 0.05
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