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Simplifying 4c + -1(c + 7) = -3(c + 4) + 5(2c + -1) Reorder the terms: 4c + -1(7 + c) = -3(c + 4) + 5(2c + -1) 4c + (7 * -1 + c * -1) = -3(c + 4) + 5(2c + -1) 4c + (-7 + -1c) = -3(c + 4) + 5(2c + -1) Reorder the terms: -7 + 4c + -1c = -3(c + 4) + 5(2c + -1) Combine like terms: 4c + -1c = 3c -7 + 3c = -3(c + 4) + 5(2c + -1) Reorder the terms: -7 + 3c = -3(4 + c) + 5(2c + -1) -7 + 3c = (4 * -3 + c * -3) + 5(2c + -1) -7 + 3c = (-12 + -3c) + 5(2c + -1) Reorder the terms: -7 + 3c = -12 + -3c + 5(-1 + 2c) -7 + 3c = -12 + -3c + (-1 * 5 + 2c * 5) -7 + 3c = -12 + -3c + (-5 + 10c) Reorder the terms: -7 + 3c = -12 + -5 + -3c + 10c Combine like terms: -12 + -5 = -17 -7 + 3c = -17 + -3c + 10c Combine like terms: -3c + 10c = 7c -7 + 3c = -17 + 7c Solving -7 + 3c = -17 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. -7 + 3c + -7c = -17 + 7c + -7c Combine like terms: 3c + -7c = -4c -7 + -4c = -17 + 7c + -7c Combine like terms: 7c + -7c = 0 -7 + -4c = -17 + 0 -7 + -4c = -17 Add '7' to each side of the equation. -7 + 7 + -4c = -17 + 7 Combine like terms: -7 + 7 = 0 0 + -4c = -17 + 7 -4c = -17 + 7 Combine like terms: -17 + 7 = -10 -4c = -10 Divide each side by '-4'. c = 2.5 Simplifying c = 2.5
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