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Simplifying -6(3 + -3a) + -8(6b + 5) = 32 (3 * -6 + -3a * -6) + -8(6b + 5) = 32 (-18 + 18a) + -8(6b + 5) = 32 Reorder the terms: -18 + 18a + -8(5 + 6b) = 32 -18 + 18a + (5 * -8 + 6b * -8) = 32 -18 + 18a + (-40 + -48b) = 32 Reorder the terms: -18 + -40 + 18a + -48b = 32 Combine like terms: -18 + -40 = -58 -58 + 18a + -48b = 32 Solving -58 + 18a + -48b = 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 + 18a + 58 + -48b = 32 + 58 Reorder the terms: -58 + 58 + 18a + -48b = 32 + 58 Combine like terms: -58 + 58 = 0 0 + 18a + -48b = 32 + 58 18a + -48b = 32 + 58 Combine like terms: 32 + 58 = 90 18a + -48b = 90 Add '48b' to each side of the equation. 18a + -48b + 48b = 90 + 48b Combine like terms: -48b + 48b = 0 18a + 0 = 90 + 48b 18a = 90 + 48b Divide each side by '18'. a = 5 + 2.666666667b Simplifying a = 5 + 2.666666667b
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