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Simplifying -8c + 5(x + 4) = -7 Reorder the terms: -8c + 5(4 + x) = -7 -8c + (4 * 5 + x * 5) = -7 -8c + (20 + 5x) = -7 Reorder the terms: 20 + -8c + 5x = -7 Solving 20 + -8c + 5x = -7 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -8c + -20 + 5x = -7 + -20 Reorder the terms: 20 + -20 + -8c + 5x = -7 + -20 Combine like terms: 20 + -20 = 0 0 + -8c + 5x = -7 + -20 -8c + 5x = -7 + -20 Combine like terms: -7 + -20 = -27 -8c + 5x = -27 Add '-5x' to each side of the equation. -8c + 5x + -5x = -27 + -5x Combine like terms: 5x + -5x = 0 -8c + 0 = -27 + -5x -8c = -27 + -5x Divide each side by '-8'. c = 3.375 + 0.625x Simplifying c = 3.375 + 0.625x
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