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Simplifying 4(8 + 3) + -7 = 6a + -21 Combine like terms: 8 + 3 = 11 4(11) + -7 = 6a + -21 Multiply 4 * 11 44 + -7 = 6a + -21 Combine like terms: 44 + -7 = 37 37 = 6a + -21 Reorder the terms: 37 = -21 + 6a Solving 37 = -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. 37 + -6a = -21 + 6a + -6a Combine like terms: 6a + -6a = 0 37 + -6a = -21 + 0 37 + -6a = -21 Add '-37' to each side of the equation. 37 + -37 + -6a = -21 + -37 Combine like terms: 37 + -37 = 0 0 + -6a = -21 + -37 -6a = -21 + -37 Combine like terms: -21 + -37 = -58 -6a = -58 Divide each side by '-6'. a = 9.666666667 Simplifying a = 9.666666667
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