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Simplifying (17a + 48) = (20a + 30) Reorder the terms: (48 + 17a) = (20a + 30) Remove parenthesis around (48 + 17a) 48 + 17a = (20a + 30) Reorder the terms: 48 + 17a = (30 + 20a) Remove parenthesis around (30 + 20a) 48 + 17a = 30 + 20a Solving 48 + 17a = 30 + 20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20a' to each side of the equation. 48 + 17a + -20a = 30 + 20a + -20a Combine like terms: 17a + -20a = -3a 48 + -3a = 30 + 20a + -20a Combine like terms: 20a + -20a = 0 48 + -3a = 30 + 0 48 + -3a = 30 Add '-48' to each side of the equation. 48 + -48 + -3a = 30 + -48 Combine like terms: 48 + -48 = 0 0 + -3a = 30 + -48 -3a = 30 + -48 Combine like terms: 30 + -48 = -18 -3a = -18 Divide each side by '-3'. a = 6 Simplifying a = 6
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