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Simplifying 4a + 13 = -10a + -15 Reorder the terms: 13 + 4a = -10a + -15 Reorder the terms: 13 + 4a = -15 + -10a Solving 13 + 4a = -15 + -10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10a' to each side of the equation. 13 + 4a + 10a = -15 + -10a + 10a Combine like terms: 4a + 10a = 14a 13 + 14a = -15 + -10a + 10a Combine like terms: -10a + 10a = 0 13 + 14a = -15 + 0 13 + 14a = -15 Add '-13' to each side of the equation. 13 + -13 + 14a = -15 + -13 Combine like terms: 13 + -13 = 0 0 + 14a = -15 + -13 14a = -15 + -13 Combine like terms: -15 + -13 = -28 14a = -28 Divide each side by '14'. a = -2 Simplifying a = -2
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