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Simplifying 5(5 + -1a) = 37 + -2a (5 * 5 + -1a * 5) = 37 + -2a (25 + -5a) = 37 + -2a Solving 25 + -5a = 37 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 25 + -5a + 2a = 37 + -2a + 2a Combine like terms: -5a + 2a = -3a 25 + -3a = 37 + -2a + 2a Combine like terms: -2a + 2a = 0 25 + -3a = 37 + 0 25 + -3a = 37 Add '-25' to each side of the equation. 25 + -25 + -3a = 37 + -25 Combine like terms: 25 + -25 = 0 0 + -3a = 37 + -25 -3a = 37 + -25 Combine like terms: 37 + -25 = 12 -3a = 12 Divide each side by '-3'. a = -4 Simplifying a = -4
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