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Simplifying -7(a + -3) = -8(a + -2) Reorder the terms: -7(-3 + a) = -8(a + -2) (-3 * -7 + a * -7) = -8(a + -2) (21 + -7a) = -8(a + -2) Reorder the terms: 21 + -7a = -8(-2 + a) 21 + -7a = (-2 * -8 + a * -8) 21 + -7a = (16 + -8a) Solving 21 + -7a = 16 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 21 + -7a + 8a = 16 + -8a + 8a Combine like terms: -7a + 8a = 1a 21 + 1a = 16 + -8a + 8a Combine like terms: -8a + 8a = 0 21 + 1a = 16 + 0 21 + 1a = 16 Add '-21' to each side of the equation. 21 + -21 + 1a = 16 + -21 Combine like terms: 21 + -21 = 0 0 + 1a = 16 + -21 1a = 16 + -21 Combine like terms: 16 + -21 = -5 1a = -5 Divide each side by '1'. a = -5 Simplifying a = -5
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