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Simplifying 3.7(-83a + -3) = 3.7(7a + -30) Reorder the terms: 3.7(-3 + -83a) = 3.7(7a + -30) (-3 * 3.7 + -83a * 3.7) = 3.7(7a + -30) (-11.1 + -307.1a) = 3.7(7a + -30) Reorder the terms: -11.1 + -307.1a = 3.7(-30 + 7a) -11.1 + -307.1a = (-30 * 3.7 + 7a * 3.7) -11.1 + -307.1a = (-111 + 25.9a) Solving -11.1 + -307.1a = -111 + 25.9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-25.9a' to each side of the equation. -11.1 + -307.1a + -25.9a = -111 + 25.9a + -25.9a Combine like terms: -307.1a + -25.9a = -333a -11.1 + -333a = -111 + 25.9a + -25.9a Combine like terms: 25.9a + -25.9a = 0.0 -11.1 + -333a = -111 + 0.0 -11.1 + -333a = -111 Add '11.1' to each side of the equation. -11.1 + 11.1 + -333a = -111 + 11.1 Combine like terms: -11.1 + 11.1 = 0.0 0.0 + -333a = -111 + 11.1 -333a = -111 + 11.1 Combine like terms: -111 + 11.1 = -99.9 -333a = -99.9 Divide each side by '-333'. a = 0.3 Simplifying a = 0.3
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