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Simplifying -3(c + 7) + 1 = 7c + 6(-1c + 4) Reorder the terms: -3(7 + c) + 1 = 7c + 6(-1c + 4) (7 * -3 + c * -3) + 1 = 7c + 6(-1c + 4) (-21 + -3c) + 1 = 7c + 6(-1c + 4) Reorder the terms: -21 + 1 + -3c = 7c + 6(-1c + 4) Combine like terms: -21 + 1 = -20 -20 + -3c = 7c + 6(-1c + 4) Reorder the terms: -20 + -3c = 7c + 6(4 + -1c) -20 + -3c = 7c + (4 * 6 + -1c * 6) -20 + -3c = 7c + (24 + -6c) Reorder the terms: -20 + -3c = 24 + 7c + -6c Combine like terms: 7c + -6c = 1c -20 + -3c = 24 + 1c Solving -20 + -3c = 24 + 1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. -20 + -3c + -1c = 24 + 1c + -1c Combine like terms: -3c + -1c = -4c -20 + -4c = 24 + 1c + -1c Combine like terms: 1c + -1c = 0 -20 + -4c = 24 + 0 -20 + -4c = 24 Add '20' to each side of the equation. -20 + 20 + -4c = 24 + 20 Combine like terms: -20 + 20 = 0 0 + -4c = 24 + 20 -4c = 24 + 20 Combine like terms: 24 + 20 = 44 -4c = 44 Divide each side by '-4'. c = -11 Simplifying c = -11
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