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Simplifying 5(a + -3) = 2a + -1 Reorder the terms: 5(-3 + a) = 2a + -1 (-3 * 5 + a * 5) = 2a + -1 (-15 + 5a) = 2a + -1 Reorder the terms: -15 + 5a = -1 + 2a Solving -15 + 5a = -1 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -15 + 5a + -2a = -1 + 2a + -2a Combine like terms: 5a + -2a = 3a -15 + 3a = -1 + 2a + -2a Combine like terms: 2a + -2a = 0 -15 + 3a = -1 + 0 -15 + 3a = -1 Add '15' to each side of the equation. -15 + 15 + 3a = -1 + 15 Combine like terms: -15 + 15 = 0 0 + 3a = -1 + 15 3a = -1 + 15 Combine like terms: -1 + 15 = 14 3a = 14 Divide each side by '3'. a = 4.666666667 Simplifying a = 4.666666667
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