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Simplifying 48 + -1(3c + 4) = 4(c + 5) + 3 Reorder the terms: 48 + -1(4 + 3c) = 4(c + 5) + 3 48 + (4 * -1 + 3c * -1) = 4(c + 5) + 3 48 + (-4 + -3c) = 4(c + 5) + 3 Combine like terms: 48 + -4 = 44 44 + -3c = 4(c + 5) + 3 Reorder the terms: 44 + -3c = 4(5 + c) + 3 44 + -3c = (5 * 4 + c * 4) + 3 44 + -3c = (20 + 4c) + 3 Reorder the terms: 44 + -3c = 20 + 3 + 4c Combine like terms: 20 + 3 = 23 44 + -3c = 23 + 4c Solving 44 + -3c = 23 + 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. 44 + -3c + -4c = 23 + 4c + -4c Combine like terms: -3c + -4c = -7c 44 + -7c = 23 + 4c + -4c Combine like terms: 4c + -4c = 0 44 + -7c = 23 + 0 44 + -7c = 23 Add '-44' to each side of the equation. 44 + -44 + -7c = 23 + -44 Combine like terms: 44 + -44 = 0 0 + -7c = 23 + -44 -7c = 23 + -44 Combine like terms: 23 + -44 = -21 -7c = -21 Divide each side by '-7'. c = 3 Simplifying c = 3
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