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Simplifying 4(a + 3) + -7a = 6a + -21 Reorder the terms: 4(3 + a) + -7a = 6a + -21 (3 * 4 + a * 4) + -7a = 6a + -21 (12 + 4a) + -7a = 6a + -21 Combine like terms: 4a + -7a = -3a 12 + -3a = 6a + -21 Reorder the terms: 12 + -3a = -21 + 6a Solving 12 + -3a = -21 + 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 + -3a + -6a = -21 + 6a + -6a Combine like terms: -3a + -6a = -9a 12 + -9a = -21 + 6a + -6a Combine like terms: 6a + -6a = 0 12 + -9a = -21 + 0 12 + -9a = -21 Add '-12' to each side of the equation. 12 + -12 + -9a = -21 + -12 Combine like terms: 12 + -12 = 0 0 + -9a = -21 + -12 -9a = -21 + -12 Combine like terms: -21 + -12 = -33 -9a = -33 Divide each side by '-9'. a = 3.666666667 Simplifying a = 3.666666667
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