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Simplifying (a + -1b) + -15 = 16 + -1(3a + 5) Remove parenthesis around (a + -1b) a + -1b + -15 = 16 + -1(3a + 5) Reorder the terms: -15 + a + -1b = 16 + -1(3a + 5) Reorder the terms: -15 + a + -1b = 16 + -1(5 + 3a) -15 + a + -1b = 16 + (5 * -1 + 3a * -1) -15 + a + -1b = 16 + (-5 + -3a) Combine like terms: 16 + -5 = 11 -15 + a + -1b = 11 + -3a Solving -15 + a + -1b = 11 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. -15 + a + 3a + -1b = 11 + -3a + 3a Combine like terms: a + 3a = 4a -15 + 4a + -1b = 11 + -3a + 3a Combine like terms: -3a + 3a = 0 -15 + 4a + -1b = 11 + 0 -15 + 4a + -1b = 11 Add '15' to each side of the equation. -15 + 4a + 15 + -1b = 11 + 15 Reorder the terms: -15 + 15 + 4a + -1b = 11 + 15 Combine like terms: -15 + 15 = 0 0 + 4a + -1b = 11 + 15 4a + -1b = 11 + 15 Combine like terms: 11 + 15 = 26 4a + -1b = 26 Add 'b' to each side of the equation. 4a + -1b + b = 26 + b Combine like terms: -1b + b = 0 4a + 0 = 26 + b 4a = 26 + b Divide each side by '4'. a = 6.5 + 0.25b Simplifying a = 6.5 + 0.25b
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