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Simplifying 3(a + -5) + 2b + 3c = 2(b + c) + -9a Reorder the terms: 3(-5 + a) + 2b + 3c = 2(b + c) + -9a (-5 * 3 + a * 3) + 2b + 3c = 2(b + c) + -9a (-15 + 3a) + 2b + 3c = 2(b + c) + -9a -15 + 3a + 2b + 3c = (b * 2 + c * 2) + -9a -15 + 3a + 2b + 3c = (2b + 2c) + -9a Reorder the terms: -15 + 3a + 2b + 3c = -9a + 2b + 2c Add '-2b' to each side of the equation. -15 + 3a + 2b + -2b + 3c = -9a + 2b + -2b + 2c Combine like terms: 2b + -2b = 0 -15 + 3a + 0 + 3c = -9a + 2b + -2b + 2c -15 + 3a + 3c = -9a + 2b + -2b + 2c Combine like terms: 2b + -2b = 0 -15 + 3a + 3c = -9a + 0 + 2c -15 + 3a + 3c = -9a + 2c Solving -15 + 3a + 3c = -9a + 2c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9a' to each side of the equation. -15 + 3a + 9a + 3c = -9a + 9a + 2c Combine like terms: 3a + 9a = 12a -15 + 12a + 3c = -9a + 9a + 2c Combine like terms: -9a + 9a = 0 -15 + 12a + 3c = 0 + 2c -15 + 12a + 3c = 2c Add '15' to each side of the equation. -15 + 12a + 15 + 3c = 15 + 2c Reorder the terms: -15 + 15 + 12a + 3c = 15 + 2c Combine like terms: -15 + 15 = 0 0 + 12a + 3c = 15 + 2c 12a + 3c = 15 + 2c Add '-3c' to each side of the equation. 12a + 3c + -3c = 15 + 2c + -3c Combine like terms: 3c + -3c = 0 12a + 0 = 15 + 2c + -3c 12a = 15 + 2c + -3c Combine like terms: 2c + -3c = -1c 12a = 15 + -1c Divide each side by '12'. a = 1.25 + -0.08333333333c Simplifying a = 1.25 + -0.08333333333c
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