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Simplifying -5(a + 2) + 5 = -7(5 + -1a) + -6 Reorder the terms: -5(2 + a) + 5 = -7(5 + -1a) + -6 (2 * -5 + a * -5) + 5 = -7(5 + -1a) + -6 (-10 + -5a) + 5 = -7(5 + -1a) + -6 Reorder the terms: -10 + 5 + -5a = -7(5 + -1a) + -6 Combine like terms: -10 + 5 = -5 -5 + -5a = -7(5 + -1a) + -6 -5 + -5a = (5 * -7 + -1a * -7) + -6 -5 + -5a = (-35 + 7a) + -6 Reorder the terms: -5 + -5a = -35 + -6 + 7a Combine like terms: -35 + -6 = -41 -5 + -5a = -41 + 7a Solving -5 + -5a = -41 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -5 + -5a + -7a = -41 + 7a + -7a Combine like terms: -5a + -7a = -12a -5 + -12a = -41 + 7a + -7a Combine like terms: 7a + -7a = 0 -5 + -12a = -41 + 0 -5 + -12a = -41 Add '5' to each side of the equation. -5 + 5 + -12a = -41 + 5 Combine like terms: -5 + 5 = 0 0 + -12a = -41 + 5 -12a = -41 + 5 Combine like terms: -41 + 5 = -36 -12a = -36 Divide each side by '-12'. a = 3 Simplifying a = 3
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