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Simplifying -0.11(3a + 5) = 0.37(2a + -1) Reorder the terms: -0.11(5 + 3a) = 0.37(2a + -1) (5 * -0.11 + 3a * -0.11) = 0.37(2a + -1) (-0.55 + -0.33a) = 0.37(2a + -1) Reorder the terms: -0.55 + -0.33a = 0.37(-1 + 2a) -0.55 + -0.33a = (-1 * 0.37 + 2a * 0.37) -0.55 + -0.33a = (-0.37 + 0.74a) Solving -0.55 + -0.33a = -0.37 + 0.74a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.74a' to each side of the equation. -0.55 + -0.33a + -0.74a = -0.37 + 0.74a + -0.74a Combine like terms: -0.33a + -0.74a = -1.07a -0.55 + -1.07a = -0.37 + 0.74a + -0.74a Combine like terms: 0.74a + -0.74a = 0.00 -0.55 + -1.07a = -0.37 + 0.00 -0.55 + -1.07a = -0.37 Add '0.55' to each side of the equation. -0.55 + 0.55 + -1.07a = -0.37 + 0.55 Combine like terms: -0.55 + 0.55 = 0.00 0.00 + -1.07a = -0.37 + 0.55 -1.07a = -0.37 + 0.55 Combine like terms: -0.37 + 0.55 = 0.18 -1.07a = 0.18 Divide each side by '-1.07'. a = -0.1682242991 Simplifying a = -0.1682242991
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