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Simplifying -5 + -7(-5 + 6a) = -8 + -4a -5 + (-5 * -7 + 6a * -7) = -8 + -4a -5 + (35 + -42a) = -8 + -4a Combine like terms: -5 + 35 = 30 30 + -42a = -8 + -4a Solving 30 + -42a = -8 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 30 + -42a + 4a = -8 + -4a + 4a Combine like terms: -42a + 4a = -38a 30 + -38a = -8 + -4a + 4a Combine like terms: -4a + 4a = 0 30 + -38a = -8 + 0 30 + -38a = -8 Add '-30' to each side of the equation. 30 + -30 + -38a = -8 + -30 Combine like terms: 30 + -30 = 0 0 + -38a = -8 + -30 -38a = -8 + -30 Combine like terms: -8 + -30 = -38 -38a = -38 Divide each side by '-38'. a = 1 Simplifying a = 1
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