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Simplifying 5[7 + -5(6 + -9)] + -7 = 7[5(7a + -6) + 4] + -50 Combine like terms: 6 + -9 = -3 5[7 + -5(-3)] + -7 = 7[5(7a + -6) + 4] + -50 Multiply -5 * -3 5[7 + 15] + -7 = 7[5(7a + -6) + 4] + -50 Combine like terms: 7 + 15 = 22 5[22] + -7 = 7[5(7a + -6) + 4] + -50 Multiply 5 * 22 110 + -7 = 7[5(7a + -6) + 4] + -50 Combine like terms: 110 + -7 = 103 103 = 7[5(7a + -6) + 4] + -50 Reorder the terms: 103 = 7[5(-6 + 7a) + 4] + -50 103 = 7[(-6 * 5 + 7a * 5) + 4] + -50 103 = 7[(-30 + 35a) + 4] + -50 Reorder the terms: 103 = 7[-30 + 4 + 35a] + -50 Combine like terms: -30 + 4 = -26 103 = 7[-26 + 35a] + -50 103 = [-26 * 7 + 35a * 7] + -50 103 = [-182 + 245a] + -50 Reorder the terms: 103 = -182 + -50 + 245a Combine like terms: -182 + -50 = -232 103 = -232 + 245a Solving 103 = -232 + 245a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-245a' to each side of the equation. 103 + -245a = -232 + 245a + -245a Combine like terms: 245a + -245a = 0 103 + -245a = -232 + 0 103 + -245a = -232 Add '-103' to each side of the equation. 103 + -103 + -245a = -232 + -103 Combine like terms: 103 + -103 = 0 0 + -245a = -232 + -103 -245a = -232 + -103 Combine like terms: -232 + -103 = -335 -245a = -335 Divide each side by '-245'. a = 1.367346939 Simplifying a = 1.367346939
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