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Simplifying -5(a + 6) = (3a + 8) Reorder the terms: -5(6 + a) = (3a + 8) (6 * -5 + a * -5) = (3a + 8) (-30 + -5a) = (3a + 8) Reorder the terms: -30 + -5a = (8 + 3a) Remove parenthesis around (8 + 3a) -30 + -5a = 8 + 3a Solving -30 + -5a = 8 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -30 + -5a + -3a = 8 + 3a + -3a Combine like terms: -5a + -3a = -8a -30 + -8a = 8 + 3a + -3a Combine like terms: 3a + -3a = 0 -30 + -8a = 8 + 0 -30 + -8a = 8 Add '30' to each side of the equation. -30 + 30 + -8a = 8 + 30 Combine like terms: -30 + 30 = 0 0 + -8a = 8 + 30 -8a = 8 + 30 Combine like terms: 8 + 30 = 38 -8a = 38 Divide each side by '-8'. a = -4.75 Simplifying a = -4.75
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