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Simplifying (2a + -50) + (a + -27) + (2a + -22) + (a + -27) + 30 + 2a = 360 Reorder the terms: (-50 + 2a) + (a + -27) + (2a + -22) + (a + -27) + 30 + 2a = 360 Remove parenthesis around (-50 + 2a) -50 + 2a + (a + -27) + (2a + -22) + (a + -27) + 30 + 2a = 360 Reorder the terms: -50 + 2a + (-27 + a) + (2a + -22) + (a + -27) + 30 + 2a = 360 Remove parenthesis around (-27 + a) -50 + 2a + -27 + a + (2a + -22) + (a + -27) + 30 + 2a = 360 Reorder the terms: -50 + 2a + -27 + a + (-22 + 2a) + (a + -27) + 30 + 2a = 360 Remove parenthesis around (-22 + 2a) -50 + 2a + -27 + a + -22 + 2a + (a + -27) + 30 + 2a = 360 Reorder the terms: -50 + 2a + -27 + a + -22 + 2a + (-27 + a) + 30 + 2a = 360 Remove parenthesis around (-27 + a) -50 + 2a + -27 + a + -22 + 2a + -27 + a + 30 + 2a = 360 Reorder the terms: -50 + -27 + -22 + -27 + 30 + 2a + a + 2a + a + 2a = 360 Combine like terms: -50 + -27 = -77 -77 + -22 + -27 + 30 + 2a + a + 2a + a + 2a = 360 Combine like terms: -77 + -22 = -99 -99 + -27 + 30 + 2a + a + 2a + a + 2a = 360 Combine like terms: -99 + -27 = -126 -126 + 30 + 2a + a + 2a + a + 2a = 360 Combine like terms: -126 + 30 = -96 -96 + 2a + a + 2a + a + 2a = 360 Combine like terms: 2a + a = 3a -96 + 3a + 2a + a + 2a = 360 Combine like terms: 3a + 2a = 5a -96 + 5a + a + 2a = 360 Combine like terms: 5a + a = 6a -96 + 6a + 2a = 360 Combine like terms: 6a + 2a = 8a -96 + 8a = 360 Solving -96 + 8a = 360 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '96' to each side of the equation. -96 + 96 + 8a = 360 + 96 Combine like terms: -96 + 96 = 0 0 + 8a = 360 + 96 8a = 360 + 96 Combine like terms: 360 + 96 = 456 8a = 456 Divide each side by '8'. a = 57 Simplifying a = 57
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