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Simplifying 4(1 + c) = 3(c + -7) (1 * 4 + c * 4) = 3(c + -7) (4 + 4c) = 3(c + -7) Reorder the terms: 4 + 4c = 3(-7 + c) 4 + 4c = (-7 * 3 + c * 3) 4 + 4c = (-21 + 3c) Solving 4 + 4c = -21 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 4 + 4c + -3c = -21 + 3c + -3c Combine like terms: 4c + -3c = 1c 4 + 1c = -21 + 3c + -3c Combine like terms: 3c + -3c = 0 4 + 1c = -21 + 0 4 + 1c = -21 Add '-4' to each side of the equation. 4 + -4 + 1c = -21 + -4 Combine like terms: 4 + -4 = 0 0 + 1c = -21 + -4 1c = -21 + -4 Combine like terms: -21 + -4 = -25 1c = -25 Divide each side by '1'. c = -25 Simplifying c = -25
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