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Simplifying 6a + -13 = 9a + -15 Reorder the terms: -13 + 6a = 9a + -15 Reorder the terms: -13 + 6a = -15 + 9a Solving -13 + 6a = -15 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. -13 + 6a + -9a = -15 + 9a + -9a Combine like terms: 6a + -9a = -3a -13 + -3a = -15 + 9a + -9a Combine like terms: 9a + -9a = 0 -13 + -3a = -15 + 0 -13 + -3a = -15 Add '13' to each side of the equation. -13 + 13 + -3a = -15 + 13 Combine like terms: -13 + 13 = 0 0 + -3a = -15 + 13 -3a = -15 + 13 Combine like terms: -15 + 13 = -2 -3a = -2 Divide each side by '-3'. a = 0.6666666667 Simplifying a = 0.6666666667
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