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Simplifying 5(2a + -1) = 3(a + 6) + -7 Reorder the terms: 5(-1 + 2a) = 3(a + 6) + -7 (-1 * 5 + 2a * 5) = 3(a + 6) + -7 (-5 + 10a) = 3(a + 6) + -7 Reorder the terms: -5 + 10a = 3(6 + a) + -7 -5 + 10a = (6 * 3 + a * 3) + -7 -5 + 10a = (18 + 3a) + -7 Reorder the terms: -5 + 10a = 18 + -7 + 3a Combine like terms: 18 + -7 = 11 -5 + 10a = 11 + 3a Solving -5 + 10a = 11 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -5 + 10a + -3a = 11 + 3a + -3a Combine like terms: 10a + -3a = 7a -5 + 7a = 11 + 3a + -3a Combine like terms: 3a + -3a = 0 -5 + 7a = 11 + 0 -5 + 7a = 11 Add '5' to each side of the equation. -5 + 5 + 7a = 11 + 5 Combine like terms: -5 + 5 = 0 0 + 7a = 11 + 5 7a = 11 + 5 Combine like terms: 11 + 5 = 16 7a = 16 Divide each side by '7'. a = 2.285714286 Simplifying a = 2.285714286
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