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Simplifying -9 + -17c = 3(-10c + -16) Reorder the terms: -9 + -17c = 3(-16 + -10c) -9 + -17c = (-16 * 3 + -10c * 3) -9 + -17c = (-48 + -30c) Solving -9 + -17c = -48 + -30c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '30c' to each side of the equation. -9 + -17c + 30c = -48 + -30c + 30c Combine like terms: -17c + 30c = 13c -9 + 13c = -48 + -30c + 30c Combine like terms: -30c + 30c = 0 -9 + 13c = -48 + 0 -9 + 13c = -48 Add '9' to each side of the equation. -9 + 9 + 13c = -48 + 9 Combine like terms: -9 + 9 = 0 0 + 13c = -48 + 9 13c = -48 + 9 Combine like terms: -48 + 9 = -39 13c = -39 Divide each side by '13'. c = -3 Simplifying c = -3
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