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Simplifying -37 + a = 6 + -8(1 + -1a) -37 + a = 6 + (1 * -8 + -1a * -8) -37 + a = 6 + (-8 + 8a) Combine like terms: 6 + -8 = -2 -37 + a = -2 + 8a Solving -37 + a = -2 + 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 + a + -8a = -2 + 8a + -8a Combine like terms: a + -8a = -7a -37 + -7a = -2 + 8a + -8a Combine like terms: 8a + -8a = 0 -37 + -7a = -2 + 0 -37 + -7a = -2 Add '37' to each side of the equation. -37 + 37 + -7a = -2 + 37 Combine like terms: -37 + 37 = 0 0 + -7a = -2 + 37 -7a = -2 + 37 Combine like terms: -2 + 37 = 35 -7a = 35 Divide each side by '-7'. a = -5 Simplifying a = -5
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