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Simplifying 7(a + -3) + -3(a + -2) = 5 Reorder the terms: 7(-3 + a) + -3(a + -2) = 5 (-3 * 7 + a * 7) + -3(a + -2) = 5 (-21 + 7a) + -3(a + -2) = 5 Reorder the terms: -21 + 7a + -3(-2 + a) = 5 -21 + 7a + (-2 * -3 + a * -3) = 5 -21 + 7a + (6 + -3a) = 5 Reorder the terms: -21 + 6 + 7a + -3a = 5 Combine like terms: -21 + 6 = -15 -15 + 7a + -3a = 5 Combine like terms: 7a + -3a = 4a -15 + 4a = 5 Solving -15 + 4a = 5 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 4a = 5 + 15 Combine like terms: -15 + 15 = 0 0 + 4a = 5 + 15 4a = 5 + 15 Combine like terms: 5 + 15 = 20 4a = 20 Divide each side by '4'. a = 5 Simplifying a = 5
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