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Simplifying 3 + -4(a + 2) = 2a + 7 Reorder the terms: 3 + -4(2 + a) = 2a + 7 3 + (2 * -4 + a * -4) = 2a + 7 3 + (-8 + -4a) = 2a + 7 Combine like terms: 3 + -8 = -5 -5 + -4a = 2a + 7 Reorder the terms: -5 + -4a = 7 + 2a Solving -5 + -4a = 7 + 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. -5 + -4a + -2a = 7 + 2a + -2a Combine like terms: -4a + -2a = -6a -5 + -6a = 7 + 2a + -2a Combine like terms: 2a + -2a = 0 -5 + -6a = 7 + 0 -5 + -6a = 7 Add '5' to each side of the equation. -5 + 5 + -6a = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -6a = 7 + 5 -6a = 7 + 5 Combine like terms: 7 + 5 = 12 -6a = 12 Divide each side by '-6'. a = -2 Simplifying a = -2
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