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Simplifying 4 + -5(8a + 6) = -7a + 9 Reorder the terms: 4 + -5(6 + 8a) = -7a + 9 4 + (6 * -5 + 8a * -5) = -7a + 9 4 + (-30 + -40a) = -7a + 9 Combine like terms: 4 + -30 = -26 -26 + -40a = -7a + 9 Reorder the terms: -26 + -40a = 9 + -7a Solving -26 + -40a = 9 + -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. -26 + -40a + 7a = 9 + -7a + 7a Combine like terms: -40a + 7a = -33a -26 + -33a = 9 + -7a + 7a Combine like terms: -7a + 7a = 0 -26 + -33a = 9 + 0 -26 + -33a = 9 Add '26' to each side of the equation. -26 + 26 + -33a = 9 + 26 Combine like terms: -26 + 26 = 0 0 + -33a = 9 + 26 -33a = 9 + 26 Combine like terms: 9 + 26 = 35 -33a = 35 Divide each side by '-33'. a = -1.060606061 Simplifying a = -1.060606061
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