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