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Simplifying 5.952 = 0.992(-3.1 + a) 5.952 = (-3.1 * 0.992 + a * 0.992) 5.952 = (-3.0752 + 0.992a) Solving 5.952 = -3.0752 + 0.992a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.992a' to each side of the equation. 5.952 + -0.992a = -3.0752 + 0.992a + -0.992a Combine like terms: 0.992a + -0.992a = 0.000 5.952 + -0.992a = -3.0752 + 0.000 5.952 + -0.992a = -3.0752 Add '-5.952' to each side of the equation. 5.952 + -5.952 + -0.992a = -3.0752 + -5.952 Combine like terms: 5.952 + -5.952 = 0.000 0.000 + -0.992a = -3.0752 + -5.952 -0.992a = -3.0752 + -5.952 Combine like terms: -3.0752 + -5.952 = -9.0272 -0.992a = -9.0272 Divide each side by '-0.992'. a = 9.1 Simplifying a = 9.1
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