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Simplifying -15 + 10a = 3(11a + -11) + -5a Reorder the terms: -15 + 10a = 3(-11 + 11a) + -5a -15 + 10a = (-11 * 3 + 11a * 3) + -5a -15 + 10a = (-33 + 33a) + -5a Combine like terms: 33a + -5a = 28a -15 + 10a = -33 + 28a Solving -15 + 10a = -33 + 28a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-28a' to each side of the equation. -15 + 10a + -28a = -33 + 28a + -28a Combine like terms: 10a + -28a = -18a -15 + -18a = -33 + 28a + -28a Combine like terms: 28a + -28a = 0 -15 + -18a = -33 + 0 -15 + -18a = -33 Add '15' to each side of the equation. -15 + 15 + -18a = -33 + 15 Combine like terms: -15 + 15 = 0 0 + -18a = -33 + 15 -18a = -33 + 15 Combine like terms: -33 + 15 = -18 -18a = -18 Divide each side by '-18'. a = 1 Simplifying a = 1
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