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Simplifying 4(a + 3) = 21 + -3(1 + -2a) Reorder the terms: 4(3 + a) = 21 + -3(1 + -2a) (3 * 4 + a * 4) = 21 + -3(1 + -2a) (12 + 4a) = 21 + -3(1 + -2a) 12 + 4a = 21 + (1 * -3 + -2a * -3) 12 + 4a = 21 + (-3 + 6a) Combine like terms: 21 + -3 = 18 12 + 4a = 18 + 6a Solving 12 + 4a = 18 + 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. 12 + 4a + -6a = 18 + 6a + -6a Combine like terms: 4a + -6a = -2a 12 + -2a = 18 + 6a + -6a Combine like terms: 6a + -6a = 0 12 + -2a = 18 + 0 12 + -2a = 18 Add '-12' to each side of the equation. 12 + -12 + -2a = 18 + -12 Combine like terms: 12 + -12 = 0 0 + -2a = 18 + -12 -2a = 18 + -12 Combine like terms: 18 + -12 = 6 -2a = 6 Divide each side by '-2'. a = -3 Simplifying a = -3
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