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Simplifying (a + -2) * 3 + 4(2a + -1) = 13 Reorder the terms: (-2 + a) * 3 + 4(2a + -1) = 13 Reorder the terms for easier multiplication: 3(-2 + a) + 4(2a + -1) = 13 (-2 * 3 + a * 3) + 4(2a + -1) = 13 (-6 + 3a) + 4(2a + -1) = 13 Reorder the terms: -6 + 3a + 4(-1 + 2a) = 13 -6 + 3a + (-1 * 4 + 2a * 4) = 13 -6 + 3a + (-4 + 8a) = 13 Reorder the terms: -6 + -4 + 3a + 8a = 13 Combine like terms: -6 + -4 = -10 -10 + 3a + 8a = 13 Combine like terms: 3a + 8a = 11a -10 + 11a = 13 Solving -10 + 11a = 13 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 11a = 13 + 10 Combine like terms: -10 + 10 = 0 0 + 11a = 13 + 10 11a = 13 + 10 Combine like terms: 13 + 10 = 23 11a = 23 Divide each side by '11'. a = 2.090909091 Simplifying a = 2.090909091
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