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Simplifying 5a + -3 = 3(2a + -3) Reorder the terms: -3 + 5a = 3(2a + -3) Reorder the terms: -3 + 5a = 3(-3 + 2a) -3 + 5a = (-3 * 3 + 2a * 3) -3 + 5a = (-9 + 6a) Solving -3 + 5a = -9 + 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. -3 + 5a + -6a = -9 + 6a + -6a Combine like terms: 5a + -6a = -1a -3 + -1a = -9 + 6a + -6a Combine like terms: 6a + -6a = 0 -3 + -1a = -9 + 0 -3 + -1a = -9 Add '3' to each side of the equation. -3 + 3 + -1a = -9 + 3 Combine like terms: -3 + 3 = 0 0 + -1a = -9 + 3 -1a = -9 + 3 Combine like terms: -9 + 3 = -6 -1a = -6 Divide each side by '-1'. a = 6 Simplifying a = 6
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