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Simplifying 37 = 5(3a + -1a) + -3 Combine like terms: 3a + -1a = 2a 37 = 5(2a) + -3 Remove parenthesis around (2a) 37 = 5 * 2a + -3 Multiply 5 * 2 37 = 10a + -3 Reorder the terms: 37 = -3 + 10a Solving 37 = -3 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 37 + -10a = -3 + 10a + -10a Combine like terms: 10a + -10a = 0 37 + -10a = -3 + 0 37 + -10a = -3 Add '-37' to each side of the equation. 37 + -37 + -10a = -3 + -37 Combine like terms: 37 + -37 = 0 0 + -10a = -3 + -37 -10a = -3 + -37 Combine like terms: -3 + -37 = -40 -10a = -40 Divide each side by '-10'. a = 4 Simplifying a = 4
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