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Simplifying 3(a + 7) = 2(a + -6) Reorder the terms: 3(7 + a) = 2(a + -6) (7 * 3 + a * 3) = 2(a + -6) (21 + 3a) = 2(a + -6) Reorder the terms: 21 + 3a = 2(-6 + a) 21 + 3a = (-6 * 2 + a * 2) 21 + 3a = (-12 + 2a) Solving 21 + 3a = -12 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 21 + 3a + -2a = -12 + 2a + -2a Combine like terms: 3a + -2a = 1a 21 + 1a = -12 + 2a + -2a Combine like terms: 2a + -2a = 0 21 + 1a = -12 + 0 21 + 1a = -12 Add '-21' to each side of the equation. 21 + -21 + 1a = -12 + -21 Combine like terms: 21 + -21 = 0 0 + 1a = -12 + -21 1a = -12 + -21 Combine like terms: -12 + -21 = -33 1a = -33 Divide each side by '1'. a = -33 Simplifying a = -33
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