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Simplifying (8) + (1.15a) + -1(0.4a) = (-7) 8 + (1.15a) + -1(0.4a) = (-7) Remove parenthesis around (0.4a) 8 + (1.15a) + -1 * 0.4a = (-7) Multiply -1 * 0.4 8 + (1.15a) + -0.4a = (-7) Combine like terms: (1.15a) + -0.4a = 0.75a 8 + 0.75a = (-7) 8 + 0.75a = -7 Solving 8 + 0.75a = -7 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 0.75a = -7 + -8 Combine like terms: 8 + -8 = 0 0 + 0.75a = -7 + -8 0.75a = -7 + -8 Combine like terms: -7 + -8 = -15 0.75a = -15 Divide each side by '0.75'. a = -20 Simplifying a = -20
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