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Simplifying -6a + -37 = 3(-6a + -6) + -7a Reorder the terms: -37 + -6a = 3(-6a + -6) + -7a Reorder the terms: -37 + -6a = 3(-6 + -6a) + -7a -37 + -6a = (-6 * 3 + -6a * 3) + -7a -37 + -6a = (-18 + -18a) + -7a Combine like terms: -18a + -7a = -25a -37 + -6a = -18 + -25a Solving -37 + -6a = -18 + -25a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '25a' to each side of the equation. -37 + -6a + 25a = -18 + -25a + 25a Combine like terms: -6a + 25a = 19a -37 + 19a = -18 + -25a + 25a Combine like terms: -25a + 25a = 0 -37 + 19a = -18 + 0 -37 + 19a = -18 Add '37' to each side of the equation. -37 + 37 + 19a = -18 + 37 Combine like terms: -37 + 37 = 0 0 + 19a = -18 + 37 19a = -18 + 37 Combine like terms: -18 + 37 = 19 19a = 19 Divide each side by '19'. a = 1 Simplifying a = 1
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