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Simplifying -3(a + 6) + -5(8 + -4a) = 0 Reorder the terms: -3(6 + a) + -5(8 + -4a) = 0 (6 * -3 + a * -3) + -5(8 + -4a) = 0 (-18 + -3a) + -5(8 + -4a) = 0 -18 + -3a + (8 * -5 + -4a * -5) = 0 -18 + -3a + (-40 + 20a) = 0 Reorder the terms: -18 + -40 + -3a + 20a = 0 Combine like terms: -18 + -40 = -58 -58 + -3a + 20a = 0 Combine like terms: -3a + 20a = 17a -58 + 17a = 0 Solving -58 + 17a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 58 + 17a = 0 + 58 Combine like terms: -58 + 58 = 0 0 + 17a = 0 + 58 17a = 0 + 58 Combine like terms: 0 + 58 = 58 17a = 58 Divide each side by '17'. a = 3.411764706 Simplifying a = 3.411764706
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