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Simplifying 17(a + -1) = 34(3a + -5.6) Reorder the terms: 17(-1 + a) = 34(3a + -5.6) (-1 * 17 + a * 17) = 34(3a + -5.6) (-17 + 17a) = 34(3a + -5.6) Reorder the terms: -17 + 17a = 34(-5.6 + 3a) -17 + 17a = (-5.6 * 34 + 3a * 34) -17 + 17a = (-190.4 + 102a) Solving -17 + 17a = -190.4 + 102a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-102a' to each side of the equation. -17 + 17a + -102a = -190.4 + 102a + -102a Combine like terms: 17a + -102a = -85a -17 + -85a = -190.4 + 102a + -102a Combine like terms: 102a + -102a = 0 -17 + -85a = -190.4 + 0 -17 + -85a = -190.4 Add '17' to each side of the equation. -17 + 17 + -85a = -190.4 + 17 Combine like terms: -17 + 17 = 0 0 + -85a = -190.4 + 17 -85a = -190.4 + 17 Combine like terms: -190.4 + 17 = -173.4 -85a = -173.4 Divide each side by '-85'. a = 2.04 Simplifying a = 2.04
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