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Simplifying 10.616 + 7a = -2.4(-2.3 + -2.1a) 10.616 + 7a = (-2.3 * -2.4 + -2.1a * -2.4) 10.616 + 7a = (5.52 + 5.04a) Solving 10.616 + 7a = 5.52 + 5.04a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5.04a' to each side of the equation. 10.616 + 7a + -5.04a = 5.52 + 5.04a + -5.04a Combine like terms: 7a + -5.04a = 1.96a 10.616 + 1.96a = 5.52 + 5.04a + -5.04a Combine like terms: 5.04a + -5.04a = 0.00 10.616 + 1.96a = 5.52 + 0.00 10.616 + 1.96a = 5.52 Add '-10.616' to each side of the equation. 10.616 + -10.616 + 1.96a = 5.52 + -10.616 Combine like terms: 10.616 + -10.616 = 0.000 0.000 + 1.96a = 5.52 + -10.616 1.96a = 5.52 + -10.616 Combine like terms: 5.52 + -10.616 = -5.096 1.96a = -5.096 Divide each side by '1.96'. a = -2.6 Simplifying a = -2.6
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