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Simplifying -6(3 + -1a) + -8(6a + 5) = 32 (3 * -6 + -1a * -6) + -8(6a + 5) = 32 (-18 + 6a) + -8(6a + 5) = 32 Reorder the terms: -18 + 6a + -8(5 + 6a) = 32 -18 + 6a + (5 * -8 + 6a * -8) = 32 -18 + 6a + (-40 + -48a) = 32 Reorder the terms: -18 + -40 + 6a + -48a = 32 Combine like terms: -18 + -40 = -58 -58 + 6a + -48a = 32 Combine like terms: 6a + -48a = -42a -58 + -42a = 32 Solving -58 + -42a = 32 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 + -42a = 32 + 58 Combine like terms: -58 + 58 = 0 0 + -42a = 32 + 58 -42a = 32 + 58 Combine like terms: 32 + 58 = 90 -42a = 90 Divide each side by '-42'. a = -2.142857143 Simplifying a = -2.142857143
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