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Simplifying 15c + -10 = (-1c + 3) + 6c + -1(c + 2) Reorder the terms: -10 + 15c = (-1c + 3) + 6c + -1(c + 2) Reorder the terms: -10 + 15c = (3 + -1c) + 6c + -1(c + 2) Remove parenthesis around (3 + -1c) -10 + 15c = 3 + -1c + 6c + -1(c + 2) Reorder the terms: -10 + 15c = 3 + -1c + 6c + -1(2 + c) -10 + 15c = 3 + -1c + 6c + (2 * -1 + c * -1) -10 + 15c = 3 + -1c + 6c + (-2 + -1c) Reorder the terms: -10 + 15c = 3 + -2 + -1c + 6c + -1c Combine like terms: 3 + -2 = 1 -10 + 15c = 1 + -1c + 6c + -1c Combine like terms: -1c + 6c = 5c -10 + 15c = 1 + 5c + -1c Combine like terms: 5c + -1c = 4c -10 + 15c = 1 + 4c Solving -10 + 15c = 1 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. -10 + 15c + -4c = 1 + 4c + -4c Combine like terms: 15c + -4c = 11c -10 + 11c = 1 + 4c + -4c Combine like terms: 4c + -4c = 0 -10 + 11c = 1 + 0 -10 + 11c = 1 Add '10' to each side of the equation. -10 + 10 + 11c = 1 + 10 Combine like terms: -10 + 10 = 0 0 + 11c = 1 + 10 11c = 1 + 10 Combine like terms: 1 + 10 = 11 11c = 11 Divide each side by '11'. c = 1 Simplifying c = 1
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