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Simplifying 117.5 = 5(3a + -0.5) Reorder the terms: 117.5 = 5(-0.5 + 3a) 117.5 = (-0.5 * 5 + 3a * 5) 117.5 = (-2.5 + 15a) Solving 117.5 = -2.5 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. 117.5 + -15a = -2.5 + 15a + -15a Combine like terms: 15a + -15a = 0 117.5 + -15a = -2.5 + 0 117.5 + -15a = -2.5 Add '-117.5' to each side of the equation. 117.5 + -117.5 + -15a = -2.5 + -117.5 Combine like terms: 117.5 + -117.5 = 0.0 0.0 + -15a = -2.5 + -117.5 -15a = -2.5 + -117.5 Combine like terms: -2.5 + -117.5 = -120 -15a = -120 Divide each side by '-15'. a = 8 Simplifying a = 8
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