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Simplifying 5(c + 3) + -1(c + -4) = 6c + 1 Reorder the terms: 5(3 + c) + -1(c + -4) = 6c + 1 (3 * 5 + c * 5) + -1(c + -4) = 6c + 1 (15 + 5c) + -1(c + -4) = 6c + 1 Reorder the terms: 15 + 5c + -1(-4 + c) = 6c + 1 15 + 5c + (-4 * -1 + c * -1) = 6c + 1 15 + 5c + (4 + -1c) = 6c + 1 Reorder the terms: 15 + 4 + 5c + -1c = 6c + 1 Combine like terms: 15 + 4 = 19 19 + 5c + -1c = 6c + 1 Combine like terms: 5c + -1c = 4c 19 + 4c = 6c + 1 Reorder the terms: 19 + 4c = 1 + 6c Solving 19 + 4c = 1 + 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. 19 + 4c + -6c = 1 + 6c + -6c Combine like terms: 4c + -6c = -2c 19 + -2c = 1 + 6c + -6c Combine like terms: 6c + -6c = 0 19 + -2c = 1 + 0 19 + -2c = 1 Add '-19' to each side of the equation. 19 + -19 + -2c = 1 + -19 Combine like terms: 19 + -19 = 0 0 + -2c = 1 + -19 -2c = 1 + -19 Combine like terms: 1 + -19 = -18 -2c = -18 Divide each side by '-2'. c = 9 Simplifying c = 9
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