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Simplifying 8a + 4.6 = 17(a + -1) Reorder the terms: 4.6 + 8a = 17(a + -1) Reorder the terms: 4.6 + 8a = 17(-1 + a) 4.6 + 8a = (-1 * 17 + a * 17) 4.6 + 8a = (-17 + 17a) Solving 4.6 + 8a = -17 + 17a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17a' to each side of the equation. 4.6 + 8a + -17a = -17 + 17a + -17a Combine like terms: 8a + -17a = -9a 4.6 + -9a = -17 + 17a + -17a Combine like terms: 17a + -17a = 0 4.6 + -9a = -17 + 0 4.6 + -9a = -17 Add '-4.6' to each side of the equation. 4.6 + -4.6 + -9a = -17 + -4.6 Combine like terms: 4.6 + -4.6 = 0.0 0.0 + -9a = -17 + -4.6 -9a = -17 + -4.6 Combine like terms: -17 + -4.6 = -21.6 -9a = -21.6 Divide each side by '-9'. a = 2.4 Simplifying a = 2.4
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