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Simplifying 7(a + -3) = 6(a + -2) Reorder the terms: 7(-3 + a) = 6(a + -2) (-3 * 7 + a * 7) = 6(a + -2) (-21 + 7a) = 6(a + -2) Reorder the terms: -21 + 7a = 6(-2 + a) -21 + 7a = (-2 * 6 + a * 6) -21 + 7a = (-12 + 6a) Solving -21 + 7a = -12 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -21 + 7a + -6a = -12 + 6a + -6a Combine like terms: 7a + -6a = 1a -21 + 1a = -12 + 6a + -6a Combine like terms: 6a + -6a = 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 = 9 1a = 9 Divide each side by '1'. a = 9 Simplifying a = 9
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