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Simplifying 300 + -7[4(3 + 5)] + 27 = a Combine like terms: 3 + 5 = 8 300 + -7[4(8)] + 27 = a Multiply 4 * 8 300 + -7[32] + 27 = a Multiply -7 * 32 300 + -224 + 27 = a Combine like terms: 300 + -224 = 76 76 + 27 = a Combine like terms: 76 + 27 = 103 103 = a Solving 103 = a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 103 + -1a = a + -1a Combine like terms: a + -1a = 0 103 + -1a = 0 Add '-103' to each side of the equation. 103 + -103 + -1a = 0 + -103 Combine like terms: 103 + -103 = 0 0 + -1a = 0 + -103 -1a = 0 + -103 Combine like terms: 0 + -103 = -103 -1a = -103 Divide each side by '-1'. a = 103 Simplifying a = 103
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