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Simplifying 32 + -2(4 + -5) + -2c = 3(a + 7) + -18 Combine like terms: 4 + -5 = -1 32 + -2(-1) + -2c = 3(a + 7) + -18 Multiply -2 * -1 32 + 2 + -2c = 3(a + 7) + -18 Combine like terms: 32 + 2 = 34 34 + -2c = 3(a + 7) + -18 Reorder the terms: 34 + -2c = 3(7 + a) + -18 34 + -2c = (7 * 3 + a * 3) + -18 34 + -2c = (21 + 3a) + -18 Reorder the terms: 34 + -2c = 21 + -18 + 3a Combine like terms: 21 + -18 = 3 34 + -2c = 3 + 3a Solving 34 + -2c = 3 + 3a Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -2c = 3 + -34 + 3a Combine like terms: 34 + -34 = 0 0 + -2c = 3 + -34 + 3a -2c = 3 + -34 + 3a Combine like terms: 3 + -34 = -31 -2c = -31 + 3a Divide each side by '-2'. c = 15.5 + -1.5a Simplifying c = 15.5 + -1.5a
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