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Simplifying -8a + -36 = -4a + -7(a + 6) Reorder the terms: -36 + -8a = -4a + -7(a + 6) Reorder the terms: -36 + -8a = -4a + -7(6 + a) -36 + -8a = -4a + (6 * -7 + a * -7) -36 + -8a = -4a + (-42 + -7a) Reorder the terms: -36 + -8a = -42 + -4a + -7a Combine like terms: -4a + -7a = -11a -36 + -8a = -42 + -11a Solving -36 + -8a = -42 + -11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '11a' to each side of the equation. -36 + -8a + 11a = -42 + -11a + 11a Combine like terms: -8a + 11a = 3a -36 + 3a = -42 + -11a + 11a Combine like terms: -11a + 11a = 0 -36 + 3a = -42 + 0 -36 + 3a = -42 Add '36' to each side of the equation. -36 + 36 + 3a = -42 + 36 Combine like terms: -36 + 36 = 0 0 + 3a = -42 + 36 3a = -42 + 36 Combine like terms: -42 + 36 = -6 3a = -6 Divide each side by '3'. a = -2 Simplifying a = -2
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