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Simplifying 7a + 3 = 10a + -15 Reorder the terms: 3 + 7a = 10a + -15 Reorder the terms: 3 + 7a = -15 + 10a Solving 3 + 7a = -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. 3 + 7a + -10a = -15 + 10a + -10a Combine like terms: 7a + -10a = -3a 3 + -3a = -15 + 10a + -10a Combine like terms: 10a + -10a = 0 3 + -3a = -15 + 0 3 + -3a = -15 Add '-3' to each side of the equation. 3 + -3 + -3a = -15 + -3 Combine like terms: 3 + -3 = 0 0 + -3a = -15 + -3 -3a = -15 + -3 Combine like terms: -15 + -3 = -18 -3a = -18 Divide each side by '-3'. a = 6 Simplifying a = 6
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