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Simplifying 3[5 + -3c] = 4c + -37 [5 * 3 + -3c * 3] = 4c + -37 [15 + -9c] = 4c + -37 Reorder the terms: 15 + -9c = -37 + 4c Solving 15 + -9c = -37 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 15 + -9c + -4c = -37 + 4c + -4c Combine like terms: -9c + -4c = -13c 15 + -13c = -37 + 4c + -4c Combine like terms: 4c + -4c = 0 15 + -13c = -37 + 0 15 + -13c = -37 Add '-15' to each side of the equation. 15 + -15 + -13c = -37 + -15 Combine like terms: 15 + -15 = 0 0 + -13c = -37 + -15 -13c = -37 + -15 Combine like terms: -37 + -15 = -52 -13c = -52 Divide each side by '-13'. c = 4 Simplifying c = 4
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