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Simplifying (21a + 5) + -1(4a + 13) = 11 Reorder the terms: (5 + 21a) + -1(4a + 13) = 11 Remove parenthesis around (5 + 21a) 5 + 21a + -1(4a + 13) = 11 Reorder the terms: 5 + 21a + -1(13 + 4a) = 11 5 + 21a + (13 * -1 + 4a * -1) = 11 5 + 21a + (-13 + -4a) = 11 Reorder the terms: 5 + -13 + 21a + -4a = 11 Combine like terms: 5 + -13 = -8 -8 + 21a + -4a = 11 Combine like terms: 21a + -4a = 17a -8 + 17a = 11 Solving -8 + 17a = 11 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 17a = 11 + 8 Combine like terms: -8 + 8 = 0 0 + 17a = 11 + 8 17a = 11 + 8 Combine like terms: 11 + 8 = 19 17a = 19 Divide each side by '17'. a = 1.117647059 Simplifying a = 1.117647059
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