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Simplifying -0.11(3a + 5) = 0.36(2a + -1) Reorder the terms: -0.11(5 + 3a) = 0.36(2a + -1) (5 * -0.11 + 3a * -0.11) = 0.36(2a + -1) (-0.55 + -0.33a) = 0.36(2a + -1) Reorder the terms: -0.55 + -0.33a = 0.36(-1 + 2a) -0.55 + -0.33a = (-1 * 0.36 + 2a * 0.36) -0.55 + -0.33a = (-0.36 + 0.72a) Solving -0.55 + -0.33a = -0.36 + 0.72a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.72a' to each side of the equation. -0.55 + -0.33a + -0.72a = -0.36 + 0.72a + -0.72a Combine like terms: -0.33a + -0.72a = -1.05a -0.55 + -1.05a = -0.36 + 0.72a + -0.72a Combine like terms: 0.72a + -0.72a = 0.00 -0.55 + -1.05a = -0.36 + 0.00 -0.55 + -1.05a = -0.36 Add '0.55' to each side of the equation. -0.55 + 0.55 + -1.05a = -0.36 + 0.55 Combine like terms: -0.55 + 0.55 = 0.00 0.00 + -1.05a = -0.36 + 0.55 -1.05a = -0.36 + 0.55 Combine like terms: -0.36 + 0.55 = 0.19 -1.05a = 0.19 Divide each side by '-1.05'. a = -0.180952381 Simplifying a = -0.180952381
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