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Simplifying -4a + -27 = 3(7a + 1) + -5 Reorder the terms: -27 + -4a = 3(7a + 1) + -5 Reorder the terms: -27 + -4a = 3(1 + 7a) + -5 -27 + -4a = (1 * 3 + 7a * 3) + -5 -27 + -4a = (3 + 21a) + -5 Reorder the terms: -27 + -4a = 3 + -5 + 21a Combine like terms: 3 + -5 = -2 -27 + -4a = -2 + 21a Solving -27 + -4a = -2 + 21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21a' to each side of the equation. -27 + -4a + -21a = -2 + 21a + -21a Combine like terms: -4a + -21a = -25a -27 + -25a = -2 + 21a + -21a Combine like terms: 21a + -21a = 0 -27 + -25a = -2 + 0 -27 + -25a = -2 Add '27' to each side of the equation. -27 + 27 + -25a = -2 + 27 Combine like terms: -27 + 27 = 0 0 + -25a = -2 + 27 -25a = -2 + 27 Combine like terms: -2 + 27 = 25 -25a = 25 Divide each side by '-25'. a = -1 Simplifying a = -1
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