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Simplifying 7(a + -3) = 6(a + 4) Reorder the terms: 7(-3 + a) = 6(a + 4) (-3 * 7 + a * 7) = 6(a + 4) (-21 + 7a) = 6(a + 4) Reorder the terms: -21 + 7a = 6(4 + a) -21 + 7a = (4 * 6 + a * 6) -21 + 7a = (24 + 6a) Solving -21 + 7a = 24 + 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 = 24 + 6a + -6a Combine like terms: 7a + -6a = 1a -21 + 1a = 24 + 6a + -6a Combine like terms: 6a + -6a = 0 -21 + 1a = 24 + 0 -21 + 1a = 24 Add '21' to each side of the equation. -21 + 21 + 1a = 24 + 21 Combine like terms: -21 + 21 = 0 0 + 1a = 24 + 21 1a = 24 + 21 Combine like terms: 24 + 21 = 45 1a = 45 Divide each side by '1'. a = 45 Simplifying a = 45
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