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Simplifying 7(7c + 1) + -4c = 3c(-2) Reorder the terms: 7(1 + 7c) + -4c = 3c(-2) (1 * 7 + 7c * 7) + -4c = 3c(-2) (7 + 49c) + -4c = 3c(-2) Combine like terms: 49c + -4c = 45c 7 + 45c = 3c(-2) Reorder the terms for easier multiplication: 7 + 45c = 3 * -2c Multiply 3 * -2 7 + 45c = -6c Solving 7 + 45c = -6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '6c' to each side of the equation. 7 + 45c + 6c = -6c + 6c Combine like terms: 45c + 6c = 51c 7 + 51c = -6c + 6c Combine like terms: -6c + 6c = 0 7 + 51c = 0 Add '-7' to each side of the equation. 7 + -7 + 51c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 51c = 0 + -7 51c = 0 + -7 Combine like terms: 0 + -7 = -7 51c = -7 Divide each side by '51'. c = -0.137254902 Simplifying c = -0.137254902
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