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Simplifying -37 + 5a = 2(a + -8) Reorder the terms: -37 + 5a = 2(-8 + a) -37 + 5a = (-8 * 2 + a * 2) -37 + 5a = (-16 + 2a) Solving -37 + 5a = -16 + 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. -37 + 5a + -2a = -16 + 2a + -2a Combine like terms: 5a + -2a = 3a -37 + 3a = -16 + 2a + -2a Combine like terms: 2a + -2a = 0 -37 + 3a = -16 + 0 -37 + 3a = -16 Add '37' to each side of the equation. -37 + 37 + 3a = -16 + 37 Combine like terms: -37 + 37 = 0 0 + 3a = -16 + 37 3a = -16 + 37 Combine like terms: -16 + 37 = 21 3a = 21 Divide each side by '3'. a = 7 Simplifying a = 7
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