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Simplifying 8(a + -5) = 6a + -18 Reorder the terms: 8(-5 + a) = 6a + -18 (-5 * 8 + a * 8) = 6a + -18 (-40 + 8a) = 6a + -18 Reorder the terms: -40 + 8a = -18 + 6a Solving -40 + 8a = -18 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -40 + 8a + -6a = -18 + 6a + -6a Combine like terms: 8a + -6a = 2a -40 + 2a = -18 + 6a + -6a Combine like terms: 6a + -6a = 0 -40 + 2a = -18 + 0 -40 + 2a = -18 Add '40' to each side of the equation. -40 + 40 + 2a = -18 + 40 Combine like terms: -40 + 40 = 0 0 + 2a = -18 + 40 2a = -18 + 40 Combine like terms: -18 + 40 = 22 2a = 22 Divide each side by '2'. a = 11 Simplifying a = 11
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