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Simplifying 36 + -7a = -5 + -8(1 + 7a) 36 + -7a = -5 + (1 * -8 + 7a * -8) 36 + -7a = -5 + (-8 + -56a) Combine like terms: -5 + -8 = -13 36 + -7a = -13 + -56a Solving 36 + -7a = -13 + -56a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '56a' to each side of the equation. 36 + -7a + 56a = -13 + -56a + 56a Combine like terms: -7a + 56a = 49a 36 + 49a = -13 + -56a + 56a Combine like terms: -56a + 56a = 0 36 + 49a = -13 + 0 36 + 49a = -13 Add '-36' to each side of the equation. 36 + -36 + 49a = -13 + -36 Combine like terms: 36 + -36 = 0 0 + 49a = -13 + -36 49a = -13 + -36 Combine like terms: -13 + -36 = -49 49a = -49 Divide each side by '49'. a = -1 Simplifying a = -1
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