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Simplifying 5(a + 3) + -7 = 6a + -21 Reorder the terms: 5(3 + a) + -7 = 6a + -21 (3 * 5 + a * 5) + -7 = 6a + -21 (15 + 5a) + -7 = 6a + -21 Reorder the terms: 15 + -7 + 5a = 6a + -21 Combine like terms: 15 + -7 = 8 8 + 5a = 6a + -21 Reorder the terms: 8 + 5a = -21 + 6a Solving 8 + 5a = -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. 8 + 5a + -6a = -21 + 6a + -6a Combine like terms: 5a + -6a = -1a 8 + -1a = -21 + 6a + -6a Combine like terms: 6a + -6a = 0 8 + -1a = -21 + 0 8 + -1a = -21 Add '-8' to each side of the equation. 8 + -8 + -1a = -21 + -8 Combine like terms: 8 + -8 = 0 0 + -1a = -21 + -8 -1a = -21 + -8 Combine like terms: -21 + -8 = -29 -1a = -29 Divide each side by '-1'. a = 29 Simplifying a = 29
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