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Simplifying 5(a + -3) = a + 6 Reorder the terms: 5(-3 + a) = a + 6 (-3 * 5 + a * 5) = a + 6 (-15 + 5a) = a + 6 Reorder the terms: -15 + 5a = 6 + a Solving -15 + 5a = 6 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -15 + 5a + -1a = 6 + a + -1a Combine like terms: 5a + -1a = 4a -15 + 4a = 6 + a + -1a Combine like terms: a + -1a = 0 -15 + 4a = 6 + 0 -15 + 4a = 6 Add '15' to each side of the equation. -15 + 15 + 4a = 6 + 15 Combine like terms: -15 + 15 = 0 0 + 4a = 6 + 15 4a = 6 + 15 Combine like terms: 6 + 15 = 21 4a = 21 Divide each side by '4'. a = 5.25 Simplifying a = 5.25
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