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Simplifying 3a + -6(6a + 7) = -1(4 + -5a) Reorder the terms: 3a + -6(7 + 6a) = -1(4 + -5a) 3a + (7 * -6 + 6a * -6) = -1(4 + -5a) 3a + (-42 + -36a) = -1(4 + -5a) Reorder the terms: -42 + 3a + -36a = -1(4 + -5a) Combine like terms: 3a + -36a = -33a -42 + -33a = -1(4 + -5a) -42 + -33a = (4 * -1 + -5a * -1) -42 + -33a = (-4 + 5a) Solving -42 + -33a = -4 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -42 + -33a + -5a = -4 + 5a + -5a Combine like terms: -33a + -5a = -38a -42 + -38a = -4 + 5a + -5a Combine like terms: 5a + -5a = 0 -42 + -38a = -4 + 0 -42 + -38a = -4 Add '42' to each side of the equation. -42 + 42 + -38a = -4 + 42 Combine like terms: -42 + 42 = 0 0 + -38a = -4 + 42 -38a = -4 + 42 Combine like terms: -4 + 42 = 38 -38a = 38 Divide each side by '-38'. a = -1 Simplifying a = -1
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