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Simplifying 5a + -3 = 13(a + -3) Reorder the terms: -3 + 5a = 13(a + -3) Reorder the terms: -3 + 5a = 13(-3 + a) -3 + 5a = (-3 * 13 + a * 13) -3 + 5a = (-39 + 13a) Solving -3 + 5a = -39 + 13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13a' to each side of the equation. -3 + 5a + -13a = -39 + 13a + -13a Combine like terms: 5a + -13a = -8a -3 + -8a = -39 + 13a + -13a Combine like terms: 13a + -13a = 0 -3 + -8a = -39 + 0 -3 + -8a = -39 Add '3' to each side of the equation. -3 + 3 + -8a = -39 + 3 Combine like terms: -3 + 3 = 0 0 + -8a = -39 + 3 -8a = -39 + 3 Combine like terms: -39 + 3 = -36 -8a = -36 Divide each side by '-8'. a = 4.5 Simplifying a = 4.5
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