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Simplifying 3a + 15 = 7a + -21 Reorder the terms: 15 + 3a = 7a + -21 Reorder the terms: 15 + 3a = -21 + 7a Solving 15 + 3a = -21 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 15 + 3a + -7a = -21 + 7a + -7a Combine like terms: 3a + -7a = -4a 15 + -4a = -21 + 7a + -7a Combine like terms: 7a + -7a = 0 15 + -4a = -21 + 0 15 + -4a = -21 Add '-15' to each side of the equation. 15 + -15 + -4a = -21 + -15 Combine like terms: 15 + -15 = 0 0 + -4a = -21 + -15 -4a = -21 + -15 Combine like terms: -21 + -15 = -36 -4a = -36 Divide each side by '-4'. a = 9 Simplifying a = 9
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