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Simplifying 0.66a + 2 = 33(4a + 1) Reorder the terms: 2 + 0.66a = 33(4a + 1) Reorder the terms: 2 + 0.66a = 33(1 + 4a) 2 + 0.66a = (1 * 33 + 4a * 33) 2 + 0.66a = (33 + 132a) Solving 2 + 0.66a = 33 + 132a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-132a' to each side of the equation. 2 + 0.66a + -132a = 33 + 132a + -132a Combine like terms: 0.66a + -132a = -131.34a 2 + -131.34a = 33 + 132a + -132a Combine like terms: 132a + -132a = 0 2 + -131.34a = 33 + 0 2 + -131.34a = 33 Add '-2' to each side of the equation. 2 + -2 + -131.34a = 33 + -2 Combine like terms: 2 + -2 = 0 0 + -131.34a = 33 + -2 -131.34a = 33 + -2 Combine like terms: 33 + -2 = 31 -131.34a = 31 Divide each side by '-131.34'. a = -0.236028628 Simplifying a = -0.236028628
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