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Simplifying 15a + -10 = 6a + -2a + -2 + 3 Reorder the terms: -10 + 15a = 6a + -2a + -2 + 3 Reorder the terms: -10 + 15a = -2 + 3 + 6a + -2a Combine like terms: -2 + 3 = 1 -10 + 15a = 1 + 6a + -2a Combine like terms: 6a + -2a = 4a -10 + 15a = 1 + 4a Solving -10 + 15a = 1 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -10 + 15a + -4a = 1 + 4a + -4a Combine like terms: 15a + -4a = 11a -10 + 11a = 1 + 4a + -4a Combine like terms: 4a + -4a = 0 -10 + 11a = 1 + 0 -10 + 11a = 1 Add '10' to each side of the equation. -10 + 10 + 11a = 1 + 10 Combine like terms: -10 + 10 = 0 0 + 11a = 1 + 10 11a = 1 + 10 Combine like terms: 1 + 10 = 11 11a = 11 Divide each side by '11'. a = 1 Simplifying a = 1
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