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Simplifying 4a + 3 + -7 = 6a + -21 Reorder the terms: 3 + -7 + 4a = 6a + -21 Combine like terms: 3 + -7 = -4 -4 + 4a = 6a + -21 Reorder the terms: -4 + 4a = -21 + 6a Solving -4 + 4a = -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. -4 + 4a + -6a = -21 + 6a + -6a Combine like terms: 4a + -6a = -2a -4 + -2a = -21 + 6a + -6a Combine like terms: 6a + -6a = 0 -4 + -2a = -21 + 0 -4 + -2a = -21 Add '4' to each side of the equation. -4 + 4 + -2a = -21 + 4 Combine like terms: -4 + 4 = 0 0 + -2a = -21 + 4 -2a = -21 + 4 Combine like terms: -21 + 4 = -17 -2a = -17 Divide each side by '-2'. a = 8.5 Simplifying a = 8.5
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