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Simplifying 37 + -7a = 3 + -8(a + -4) Reorder the terms: 37 + -7a = 3 + -8(-4 + a) 37 + -7a = 3 + (-4 * -8 + a * -8) 37 + -7a = 3 + (32 + -8a) Combine like terms: 3 + 32 = 35 37 + -7a = 35 + -8a Solving 37 + -7a = 35 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 37 + -7a + 8a = 35 + -8a + 8a Combine like terms: -7a + 8a = 1a 37 + 1a = 35 + -8a + 8a Combine like terms: -8a + 8a = 0 37 + 1a = 35 + 0 37 + 1a = 35 Add '-37' to each side of the equation. 37 + -37 + 1a = 35 + -37 Combine like terms: 37 + -37 = 0 0 + 1a = 35 + -37 1a = 35 + -37 Combine like terms: 35 + -37 = -2 1a = -2 Divide each side by '1'. a = -2 Simplifying a = -2
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