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Simplifying 7(a + -3) = 5(a + -2) Reorder the terms: 7(-3 + a) = 5(a + -2) (-3 * 7 + a * 7) = 5(a + -2) (-21 + 7a) = 5(a + -2) Reorder the terms: -21 + 7a = 5(-2 + a) -21 + 7a = (-2 * 5 + a * 5) -21 + 7a = (-10 + 5a) Solving -21 + 7a = -10 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -21 + 7a + -5a = -10 + 5a + -5a Combine like terms: 7a + -5a = 2a -21 + 2a = -10 + 5a + -5a Combine like terms: 5a + -5a = 0 -21 + 2a = -10 + 0 -21 + 2a = -10 Add '21' to each side of the equation. -21 + 21 + 2a = -10 + 21 Combine like terms: -21 + 21 = 0 0 + 2a = -10 + 21 2a = -10 + 21 Combine like terms: -10 + 21 = 11 2a = 11 Divide each side by '2'. a = 5.5 Simplifying a = 5.5
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