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Simplifying 10(a + -11) = 10(1 + 2a) + 2a Reorder the terms: 10(-11 + a) = 10(1 + 2a) + 2a (-11 * 10 + a * 10) = 10(1 + 2a) + 2a (-110 + 10a) = 10(1 + 2a) + 2a -110 + 10a = (1 * 10 + 2a * 10) + 2a -110 + 10a = (10 + 20a) + 2a Combine like terms: 20a + 2a = 22a -110 + 10a = 10 + 22a Solving -110 + 10a = 10 + 22a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-22a' to each side of the equation. -110 + 10a + -22a = 10 + 22a + -22a Combine like terms: 10a + -22a = -12a -110 + -12a = 10 + 22a + -22a Combine like terms: 22a + -22a = 0 -110 + -12a = 10 + 0 -110 + -12a = 10 Add '110' to each side of the equation. -110 + 110 + -12a = 10 + 110 Combine like terms: -110 + 110 = 0 0 + -12a = 10 + 110 -12a = 10 + 110 Combine like terms: 10 + 110 = 120 -12a = 120 Divide each side by '-12'. a = -10 Simplifying a = -10
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