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Simplifying -1.7(a + -1) = 2.3(a + 9) Reorder the terms: -1.7(-1 + a) = 2.3(a + 9) (-1 * -1.7 + a * -1.7) = 2.3(a + 9) (1.7 + -1.7a) = 2.3(a + 9) Reorder the terms: 1.7 + -1.7a = 2.3(9 + a) 1.7 + -1.7a = (9 * 2.3 + a * 2.3) 1.7 + -1.7a = (20.7 + 2.3a) Solving 1.7 + -1.7a = 20.7 + 2.3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2.3a' to each side of the equation. 1.7 + -1.7a + -2.3a = 20.7 + 2.3a + -2.3a Combine like terms: -1.7a + -2.3a = -4a 1.7 + -4a = 20.7 + 2.3a + -2.3a Combine like terms: 2.3a + -2.3a = 0.0 1.7 + -4a = 20.7 + 0.0 1.7 + -4a = 20.7 Add '-1.7' to each side of the equation. 1.7 + -1.7 + -4a = 20.7 + -1.7 Combine like terms: 1.7 + -1.7 = 0.0 0.0 + -4a = 20.7 + -1.7 -4a = 20.7 + -1.7 Combine like terms: 20.7 + -1.7 = 19 -4a = 19 Divide each side by '-4'. a = -4.75 Simplifying a = -4.75
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