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Simplifying 7(-14) + 2[2(1 + -1(-14)) + -2C(1 + (-14))] = 14 Multiply 7 * -14 -98 + 2[2(1 + -1(-14)) + -2C(1 + (-14))] = 14 Multiply -1 * -14 -98 + 2[2(1 + 14) + -2C(1 + (-14))] = 14 Combine like terms: 1 + 14 = 15 -98 + 2[2(15) + -2C(1 + (-14))] = 14 Multiply 2 * 15 -98 + 2[30 + -2C(1 + (-14))] = 14 -98 + 2[30 + -2C(1 + -14)] = 14 Combine like terms: 1 + -14 = -13 -98 + 2[30 + -2C(-13)] = 14 Reorder the terms for easier multiplication: -98 + 2[30 + -2 * -13C] = 14 Multiply -2 * -13 -98 + 2[30 + 26C] = 14 -98 + [30 * 2 + 26C * 2] = 14 -98 + [60 + 52C] = 14 Combine like terms: -98 + 60 = -38 -38 + 52C = 14 Solving -38 + 52C = 14 Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 52C = 14 + 38 Combine like terms: -38 + 38 = 0 0 + 52C = 14 + 38 52C = 14 + 38 Combine like terms: 14 + 38 = 52 52C = 52 Divide each side by '52'. C = 1 Simplifying C = 1
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