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Simplifying 7 + -3[(2a + -3c) + -1(2a + 3c)] = 0 Remove parenthesis around (2a + -3c) 7 + -3[2a + -3c + -1(2a + 3c)] = 0 7 + -3[2a + -3c + (2a * -1 + 3c * -1)] = 0 7 + -3[2a + -3c + (-2a + -3c)] = 0 Reorder the terms: 7 + -3[2a + -2a + -3c + -3c] = 0 Combine like terms: 2a + -2a = 0 7 + -3[0 + -3c + -3c] = 0 7 + -3[-3c + -3c] = 0 Combine like terms: -3c + -3c = -6c 7 + -3[-6c] = 0 Remove brackets around [-6c] 7 + -3 * -6c = 0 Multiply -3 * -6 7 + 18c = 0 Solving 7 + 18c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 18c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 18c = 0 + -7 18c = 0 + -7 Combine like terms: 0 + -7 = -7 18c = -7 Divide each side by '18'. c = -0.3888888889 Simplifying c = -0.3888888889
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